Find the inverse of the following

F(x) = 1/2x-1

Answers

Answer 1
Step 1: Set it to be “y=“
y=1/2 x - 1

Step 2: Swap x and y:
x = 1/2 y - 1

Step 3: solve for y by adding 1 and then multiplying by 2:
x + 1 = 1/2 y
2(x+1) = y
2x+2 = y

Step 4: flip it so it’s y= and then put in inverse function notation:
y = 2x + 2

f^-1 (x) = 2x+2

It’s always this same process. The only difference is step 3, on how you might solve your specific equation for y.

Related Questions

What is polynomial? ​

Answers

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Answer:

Consisting of several terms

Step-by-step explanation:

An expression of more than two algebric terms

Determine the measure of the interior angle at vertex E.

Answers

Answer:

30

Step-by-step explanation:

5 sides Pentagon=540

3x+4x+4x+4x+3x=540

18x=540

x=540/18

x=30

Simplify each expression

Answers

Answer:

[tex]3. \: \: ( \frac{7}{8} ) ^{2} = \frac{ {7}^{2} }{ {8}^{2} } = \frac{49}{64} = 0.765 [/tex]

[tex]5. \: \: 8 + 5(7) = 8 + 35 = 43[/tex]

I hope I helped you^_^

24/4 ÷ 10
please answer quickly ​

Answers

Answer:

0.48

Step-by-step explanation:

25/4 ÷ 10=0.48

Brainiest plz and hope it helped

find three consecutive even integers for which -4 times the sum of the first and third is 192

Answers

Answer:

-26-24-22

Step-by-step explanation:

Let x be the smallest number (first)

Let (x + 2) be the second number (second)

Let (x + 4) be the greatest number (third)

Set equation according to the given information

-4 [x + (x + 4)] = 192

Simplify parentheses

-4 [x + x + 4] = 192

-4 [2x + 4] = 192

Expand bracket and apply the distributive property

(-4) · 2x + (-4) · 4 = 192

-8x - 16 = 192

Add 16 on both sides

-8x - 16 + 16 = 192 + 16

-8x = 208

Divide -8 on both sides

-8x / -8 = 208 / (-8)

[tex]\boxed{x=-26}[/tex]

Find the value of the second term

x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]

Find the value of the third term

x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Please help me out with part 3 i need this asap

Answers

Answer:

1) g(x) = 7

2) (-∞,∞)

3) 7

Step-by-step explanation:

I can’t understand the question

A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.​

Answers

Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45

which of the following is a counterexample of this statement?
If an angle is acute, then it measures 80°.
A. a 100° angle
B. a 90° angle
C. a 80° angle
D. a 70° angle

Answers

Answer:

a 70° angle

Step-by-step explanation:

an acute angle measure between 0° and 90° so a counterexample for the statement is the 70° angle which is also an acute angle that doesn't measure 80°

brainliest is appreciated

help please asap its timed​

Answers

Answer:

In a representation of 100, the percent change is just a number change, meaning 65 - 52, or 13 is that change. This means that the percent change from 65 to 52 is 13%  

Step-by-step explanation:

Someone plz help giving brainliest

Answers

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

(b) calculate the area of a triangle 7.8 cm 12.8 cm​

Answers

Answer:

49.92 cm²

Step-by-step explanation:

Area of a triangle = base × height ÷ 2

7.8 × 12.8 ÷ 2 = 49.92

A bag contains 7 red marbles, 8 blue marbles, and 9 green marbles. What is the
probability of choosing a blue marble when one marble is drawn?

Answers

Answer:

The probability of choosing a blue marble is 1/3.

Step-by-step explanation:

Add up all of the marbles.

7+8+9=24.

Next, you get the fraction of the chosen marble type over all marbles. In this case, it's blue, so it's 8/24

Finally, you must simplify the fraction.

1/3 is the simplest form of 8/24.

Transformation is when a shape has been copied, which means that the shape has the same size, area, angles and side lengths. What does it mean when the shape has rotated

Answers

Answer:

I think it is called a rotation or reflection.

Step-by-step explanation:

Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10

Answers

D is the correct answer
Hope this help

please help me out thank you so much whoever does !!

Answers

Millimeters per minute, since snails are slow moving species.

who is square
root 3​

Answers

Answer:

Square root of 3 = 1.7321

Answer:

1.73

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

factor of -2800 and -2

Answers

Answer:

isn't it just -2 it's the greatest common factor (GCF) of -2800 and -2

Step-by-step explanation:

WEIGHTS AND MEASURES
One pint is about 5/9 liter. Write 5/9 liter as a decimal.

Answers

Answer:

.55555555 infinitely or .556

Step-by-step explanation:

5/9 liter is .555 as a decimal

Divide by rationalizing the denominator.
3+5i/10+3i


A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109

Answers

Answer:

D

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate of the denominator.

Note that i² = - 1

The conjugate of 10 + 3i is 10 - 3i , then

[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL

= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify

= [tex]\frac{30+41i+15}{100+9}[/tex]

= [tex]\frac{45+41i}{109}[/tex] → D

please help with geometry

Answers

Step-by-step explanation:

a) gradient= y2-y1/x2-x1

gradient of AB:

gradient=-4-1/2-3

=-5/-1

=5

gradient of BC:

=-5+4/7-2

=-1/5

b) as the priduct of both gradient is -1 ,both lines are perpendicular.

c) as we have seen lines are perpendicular so it is a right angled triangle.

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=-3

Step-by-step explanation:

-4(-2x+5)-5x+5=-24

8x-20-5x+5=-24

3x-15=-24

3x=-9

x=-3

I hope that this helped you!

6. A cube has a volume of 5 feet?. What is the volume of the cube in in?

Answers

The answer is 60 inches.

3.3(n-8)-n=1.2

Simplify! ::)

Answers

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]

Step 1: Distribute the 3.3 to the terms inside the parentheses:

[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]

Step 2: Perform the multiplication:

[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]

Step 3: Combine like terms:

[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]

Step 4: Isolate n by dividing both sides by 2.3:

[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]

So, the solution to the equation is n = 12.

To know more about equation:

https://brainly.com/question/8651602

#SPJ3

Find the domain of f(x)= x^2+4

Answers

Answer:

(Negative Infinity to Positive Infinity)

Step-by-step explanation:

A domain is all x values that can go into a function. This is a quadratic. A quadratic can accept any real number so the domain is

[tex]all \: real \: numbers[/tex]

or

(Negative Infinity to Positive Infinity)

Tell the slope of a line that contains the points (5, − 3) and (7, 3).

Answers

Answer:

3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

     = ( 3 - -3)/( 7-5)

     = (3+3)/(7-5)

     = 6/2

      = 3

Answer:

[tex]m = 3[/tex]

Step-by-step explanation:

[tex]slope \: = m = \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 3 - 3}{5 - 7} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]

Find the area of the circle.
Use 3.14 for it.
d = 8 cm
A = [?] cm2
A= 7Tr2

Answers

Answer:

50.24 cm^2.

Step-by-step explanation:

If d = 8 then r = 4 cm.

Area = 3.14 * r^2

= 3.14 * 4^2

= 50.24 cm^2.

Find the distance between each pair of points (-4,6) and (3,-7)

Answers

Answer:

Here is your answer . Hope this helps you.

Answer:

[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]

Step-by-step explanation:

The formula for calculating the distance between 2 points is:

[tex]d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:

x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7

Substitute the values into the formula.

[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]

Solve inside the parentheses.

(3--4) = (3+4) = 7 (-7-6) = -13

[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]

Solve the exponents.

(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169

[tex]d= \sqrt{ (49)+(169)[/tex]

Add.

[tex]d= \sqrt{218}[/tex]

[tex]d=14.76482306[/tex]

If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.

[tex]d \approx 14.76[/tex]

The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!

For the function h defined by h(x)=2x^2 − 2, find h(0).

Answers

Answer:

h(0) = - 2

Step-by-step explanation:

Substitute x = 0 into h(x) and evaluate , that is

h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2

I was thrown into this without any help​

Answers

Answer: MKN and JKL

Collinear points are three or more points that lie on the same line.
The answer is MKN & JKL


Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?

Answers

Answer:

Mandy is 1.613 m tall

Step-by-step explanation:

Let us consider

Mary is A, Misa is B and Mandy is C

According to question,

A + B + C = 4.84 m...... (i)

From qsn

9 cm/0.009 m

= 9 cm/ 0.9 cm

= 10 cm

= 0.1 m

Then, A is 0.1 m shorter than B

i.e. A= B - 0.1 m

Also, B is 0.05 m taller than C

i.e B = C + 0.05m

We have to find height of C ( Mandy)

From eqn (i)

C = 4.84 - B - A

or, C = 4.84 - (C + 0.05) - ( B - 0.1)

or, C = 4.84 - C - 0.05 - B + 0.1

or, 2C = 4.89 - B

or, 2C = 4.89 - ( C + 0.05)

or, 2C = 4.89 - C - 0.05

or, 3C = 4.84

or, C = 4.84/3

or, C = 1.613 m

Hello!

Let’s start by assigning variables to each of the girls’ heights.

Mary=x

Misa=y

Mandy=z

Now, we know that Misa is 0.05 m taller than Mandy. Therefore we can say y (Misa’s height)= z (Mandy’s height) +0.05

Y=z+0.05


We also know that Mary is 0.009m shorter than Misa. Therefore, she must be 0.041 m taller than Mandy. We know this because Misa is 0.05 m taller than Mandy, and Mary is 0.009 meters shorter than Misa (0.05-0.009)= 0.041 Based on our determined variables, we can write this as:

X=z+0.041

OR REWRITTEN TO SOLVE FOR Z

Z=x-0.041

Finally, we know that the heights of all three girls are equal to 4.84 meters:

X+y+z=4.84


Let’s solve! Plug the second equation, solved for z, into the first equation.

Y= (x-0.041) +0.05

Now, let’s plug that in for “y” and the second equation in for “z” in the final equation:

X+ ((x-0.041) +0.05)+ (x-0.041)= 4.84

Solve for X:

1.624

Plug that number in for “X” in the second equation to get Mandy’s height (z)

Z=x-0.041

Z= 1.624-0.041


Mandy’s height is 1.583 m

I know this is a little confusing, but I hope this helped! If you have any questions, feel free to comment and I can help clarify!
Other Questions
What is kinetic energy?A the energy an object has due to its motionB. the energy derived from chemical reactionsC. the energy an object has due to its positionD. the energy an object releases as heatPlease select the best answer from the choices provided. ODMark this and retumSave and ExitextSubmit write a letter to the district Which English Philosopher was the first to see the idea of the 3 branches of government being independent and a government with a system of checks and balances? This theory became the foundation for the United States Constitution.Group of answer choicesJohn LockeThomas HobbesJean RousseauCharles Montesquieu factorize the following questions 1. a^8-b^8 2. 32y^4 - 162 7. Fuji the woodworker sells cribs. His start-upcosts total $2000. Labor and material foreach crib cost $185. If the formula for hisCost(C) based on (n) number of cribs is:C=2000 + 185n , Tell what the rate of changeis and what it tells us about Fuji's expenses. You have 2 tablets, one is labeled 0.15 mg and the other is labeled 0.3 mg. What is the total dosage of these tablets? a) 0.35 mg b) less than 0.35 mg c) more than 0.35 mg which graph should Mr.Salinas use to presentation to the city council and why? Amaya wants to jog 8 Miles this week she has jog 2 1/2 miles on Monday and 3 2/5 miles on Wednesday how many miles does amaya still need to jog to meet her goal I hate financial maths. 20 points!!! IF A= { a, b, c d and B={a,b,c,d}how can I solve this The family is responsible for the reproduction of society as it produces and socializes children who will in turn become future workers and produce and socialize more new members of society. What did Talcott Parsons refer to this as Pls help 100 point below find the quotient of (6x^2+x-12)(2x+3) There were several instances during the Colonial or Revolutionary Era where enslaved people attempted to revolt or fight for their own independence. The first nation where a slave uprising was successful was . The resulted in the creation of brutal slave codes that would not be lifted until after the Civil War. A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour? VIII. Active and Passive Voice: 1. Its parameters of evaluation are being changed rapidly by the examination board every year. 2. Place the book on the corner of the table. Let the book be placed on 3. I have planted many flowers in my garden. 4. Who has done this mischief? 5. How can people tolerate such a person in our society? 6. They will finalise the agreement tomorrow. 7. The thieves have been arrested by the police. 8. The marvelous performance delivered by the children enthralled us. 9. He has been invited to their party. 10. We have shipped your order. . 11. The girl recited the poem beautifully. 12. The guests enjoyed the party. 13. The child impressed everyone with his polite manners. 14 A girl from Chennai won the first prize. A(-2,3)Triangle ABC has vertices at A(-2,3), B(-3,6), andC(2,-1) Is triangle ABC a night triangle? If so, whichangle is the night angle?O No, the triangle has no right angles.O Yes, the right angle is angle AO Yes, the right angle is angle BO Yes, the right angle is angle CVAC (2-1)B (-3,-6) why did the tribal society feel that they need leadership ? 15) Identify a theme in the play? Then write a 4 paragraph essay analyzing thistheme. Be sure to use lots of evidence from the text to prove your point. Of the play the crubcribe Show work please[tex] \sqrt{ \frac{45}{5} } [/tex]