I’m confused about these questions. Compositions and inverses ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️

Im Confused About These Questions. Compositions And Inverses

Answers

Answer 1

9514 1404 393

Answer:

  1. (f+g)(x) = 2x^2 +4x +2

  2. (f -g)(x) = -2x^2 +4x -4

  5. (f+g)(x) = x^2 +2x -1

  6. (g -f)(x) = x^2 -2x -1

Step-by-step explanation:

None of these are compositions. They are only sums or differences.

  (f±g)(x) = f(x) ± g(x)

__

1. (f+g)(x) = f(x) +g(x) = (4x -1) +(2x^2 +3)

  (f+g)(x) = 2x^2 +4x +2

__

2. (f -g)(x) = f(x) -g(x) = (4x -1) -(2x^2 +3)

  (f -g)(x) = -2x^2 +4x -4

__

5. (f +g)(x) = f(x) +g(x) = (2x) +(x^2 -1)

  (f+g)(x) = x^2 +2x -1

__

6. (g -f)(x) = g(x) -f(x) = (x^2 -1) -(2x)

  (g -f)(x) = x^2 -2x -1


Related Questions

If the original ordered pair in a shape was ( 3, 4), what would the new ordered pair be after a Dilation with a scale factor of 2 ?

Answers

Answer:

(6, 8 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates by the scale factor 2, that is

(3, 4 ) → (2(3) , 2(4) ) → (6, 8 )

Solve for y.

–5(y − 3) − 10 = –6y

y =

Answers

Answer:

[tex]y = - 5[/tex]

Step-by-step explanation:

[tex] - 5(y - 3) - 10 = - 6y[/tex]

➡️ [tex] - 5y + 15 - 10 = - 6y[/tex]

➡️ [tex] - 5y + 5 = - 6y[/tex]

➡️ [tex] - 5y + 6y = - 5[/tex]

➡️ [tex]y = - 5[/tex]

help me with this algebra problem

Answers

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]105 \div 21[/tex]

[tex] = 5[/tex]

18. What is the least common denominator of the following
fractions? 3/10 and 1/4

Answers

Answer:

20

The denominators of 3 /10  and  1 /4  are 10  and  4.

The factors of  10  are  2 × 5  and  2 × 2

Therfore the LCD should have two 2's and one 5.

This means the answer is:

2 × 2 × 5 = 20

I hope this helps :)

What are the coordinates after a 90 degree clock-wise rotation around the point (1, 4)?

Answers

Answer:

Im pretty sure it's (-4,-1)

12.36 divided by six

Answers

i think 2.06 ???????
12.36 divided by 6 = 2.06

1
The post office is 1= miles west of Vincent's house. The
3
2
library is 15 miles west of the post office. How far is it from
5
Vincent's house to the library? Simplify the answer if
possible.
library is 1

Answers

Use Pythagorean Theorem

1 squared + 15 squared = x squared

1 + 225 = x squared

x squared = 226

x = about 15 miles

whats the missing length indicated?!? help!!

Answers

Answer:

A) 27

Step-by-step explanation:

[tex] \frac{16}{16 + 12} = \frac{63 - ?}{63} [/tex]

➡️ [tex] \frac{4}{7} = \frac{63-? }{63}[/tex]

➡️ [tex]63 - ? = 36[/tex]

➡️ [tex]? = 27[/tex]

What is the answer to -4/3 / -1/4?

Answers

Answer:

[tex] \frac{16}{3} [/tex]

Step-by-step explanation:

[tex] \frac{ \frac{ - 4}{3} }{ \frac{ - 1}{4} } [/tex]

➡️ [tex] \frac{ \frac{4}{3} }{ \frac{1}{4} } [/tex]

➡️ [tex] \frac{4}{3} \div \frac{1}{4} [/tex]

➡️ [tex] \frac{4}{3} \times 4[/tex]

➡️ [tex] \frac{4 \times 4}{3} [/tex]

➡️ [tex] \frac{16}{3} [/tex]

please help fassttttt​

Answers

Answer:

Step-by-step explanation:

h = 20 + 1.7 + 50 = 71.7 m

1.10.3 Test (CST): Coordinate Geometry
Question 10 of 25
What is the area of a square with sides of length 9?
A. 54 square units
B. 81 square units
C. 36 square units
O D. 18 square units
SUBMIT

Answers

Answer:

B. 81 square units

Step-by-step explanation:

Squares have all side lengths the same so…

Area = length • width

Area = 9 • 9

Area = 81 square units

The area of a square with sides of length 9 is 81 square units.

What is an area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The space enclosed by the boundary of a plane figure is called its area.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given that, a square with side length of 9 units, we need to find its area, We know that, the area of a square is given by the square of it side, so Area = side²

Area of the given square = 9²

= 9 x 9

= 81 sq. units

Hence. the area of a square with sides of length 9 is 81 square units.

Learn more about areas, click;

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The time in seconds, t, it takes for a specific object being dropped from a particular height in feet above sea level, h, to reach the ground can be found by the radical function t equals one fourth times radical h period At what height should you drop an object in order for it to reach the ground in 12 seconds?

Answers

Dropping the object from a height is an illustration of an object in free fall. The object should be dropped at 2304 feet above the sea level.

Given that:

[tex]t = \frac 14 \sqrt h[/tex]

The height is calculated as follows:

[tex]t = \frac 14 \sqrt h[/tex]

Multiply both sides by 4

[tex]4t = \sqrt h[/tex]

Square both sides

[tex]16t^2 = h[/tex]

Rewrite as:

[tex]h = 16t^2[/tex]

The object reaches the ground in 12 seconds.

So: [tex]t = 12[/tex]

This gives:

[tex]h = 16 \times 12^2[/tex]

[tex]h = 2304[/tex]

Hence, the object should be dropped at 2304 feet above the sea level.

Read more about free falls at:

https://brainly.com/question/10579318

Use the numbers 12 through 17. Place them in the connected circles so that the numbers along each line have a sum of 50. Do this in two different ways.

Someone please help me, my brain is stuck.
(Fun question every week to answer) - Yes this is really verixsans second account -_-

Answers

Answer:

[13, 15, 17, 16, 12]

[16, 12, 17, 13, 15]

[16, 15, 14, 13, 12]

[17, 13, 15, 12, 14]

Step-by-step explanation:

Writing a Python code, I got the answers given, reading from left to right to down. For example, for [13, 15, 17, 16, 12], 13 is the top left circle, 15 is the middle right, 17 is the far right, 16 is the bottom left, and 12 is the bottom right

The perimeter of an equilateral triangle can be represented by 6x+36. Which of the following expressions represents the length of one of the sides of the triangle?
A. 3(2x+12)
B. 2x+12
C. 6x+33
D. 3x+18

Please help quick!!

Answers

Answer:

2x + 12

Step-by-step explanation:

6x + 36 / 3 =

(6x)/3 + (36)/3 = 2x + 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which is the value of this expression when )=-2 and k=-1?
3
jk2
0-64
Nino
O
w
o
NI -
O 64

Answers

Answer:

64

........................

2. Discounts - You go to the store the next day and the $28.62 shirt is on sale for 15%
off, how much is the shirt before tax?

Answers

Answer:

a = 15 /100  * 28.62 = 4293 /1000

= 4.293

Hope this helps! :)

SOMEONE WHO LIKES MATHS OR CAN DO IT PLS HELP COZ THIS IS SO CONFUSING:((. do the ones you know !! I’ll brainlist:)

Answers

a) c + y = 10 + 11 = 21

b) q + b + r = -14 + (-7) + (-13) =

= -(14 + 7 + 13) = -34

c) 8x + 3z = 8 · 9 + 3 · 4 = 72 + 12 = 84

d) 6a + 5b = 6 · (-1) + 5 · (-3) = -6 - 15 = -21

e) -9y + 2z = -9 · (-5) + 2 · (-7) = 45 - 14 = 31

f) -3t + 4y + s = -3 · 8 + 4 · (-2) + (-2) =

= -24 - 8 - 2 = -(24 + 8 + 2) = -34

g) y² + c = 4² + 7 = 4 · 4 + 7 = 16 + 7 = 23

h) a² + x = (-10)² + (-8) = 100 - 8 = 92

i) b + 2y² = 2 + 2 · 6² = 2 + 2 · 36 =

= 2 + 72 = 74

j) 3y² - 3z = 3 · 6² - 3 · (-7) = 3 · 36 + 21 =

= 108 + 21 = 129

johanna starts the month with $54 in her savings account. at the end of each week, johanna adds $8 to the account. how much will johanna have in her account after 5 weeks?

Answers

Answer:

$94

Step-by-step explanation:

To find out how much she has after 5 weeks we need to use how much she has at 1 week. We know she starts the month with $54 and adds $8 at the end of a week. Knowing this we can multiply her amount for 1 week by 5 weeks (8x5), this gets us to $40, but since she started the week with 54 we need to add that to her 5 week's total (54+40), so we get a total of $94 after 5 weeks.

The total amount in Johanna's account after 5 weeks will be $94 if Johanna starts the month with $54 in her savings account at the end of each week, Johanna adds $8 to the account.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Johanna starts the month with $54 in her savings account.

At the end of each week, Johanna adds $8 to the account.

Let x be the total amount in Johanna's account after 5 weeks.

The linear equation in one variable can be framed as:

x = 54 + 8×5

x = 54 + 40

x = $94

Thus, the total amount in Johanna's account after 5 weeks will be $94 if Johanna starts the month with $54 in her savings account at the end of each week, Johanna adds $8 to the account.

Learn more about the linear equation here:

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Troy is writing a book of short stories. It is his
goal to write one short story this month, two
short stories next month, three short stories
the following month, and so on for 13 more
months. How many stories will he have written
at the end of sixteen months?

Answers

Answer:

91 short stories

Step-by-step explanation:

You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and  then stopped afterwards.

sin^2a + tan^2a sin^2a = tan^2a​

Answers

the answer is in picture

In the figure

AB = AD, BC = CD
prove that ∠ABC = ∠ADC​

Answers

AB = AD [Given]

BC = CD [Given]

AC = AC [Same line segment]

So, ΔABC ≅ ΔADC [By SSS congruence criteria]

So, ∠ABC = ∠ADC [CPCT (Corresponding parts of congruent triangles)]

Hence, proved.

Answer:

I hope it will help U.

Geometry homework very confusing

Answers

Answer:

Step-by-step explanation:

Can someone help this is the last question I’m asking so if u help U guys will get 25points and pls no spamming and typing unnecessariy answers

Answers

Hi ;-)

[tex]x=(180^o-70^o):2=110^o:2=\boxed{55^o}\\\\y=180^o-55^o=\boxed{125^o}[/tex]

Hello friend hope this helps ;-D

what is x in 0x<3 i though you couldn't divide anything with 0

Answers

Step-by-step explanation:

0x<3

x>3/0

x>∞

x is undefined.

A video game set can be bought on hire purchase by making a deposit of $190 and 12 monthly installments of $171 each. Calculate the hire purchase price cost of the video game set.​

Answers

Answer:

the purchase price would be $2142

Step-by-step explanation:

90+171×12

5 less than the difference of a number f and 35

Answers

Answer:

See below.

Step-by-step explanation:

There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.

(f-35)-5=f-35-5

=f-40

OR

(35-f)-5=35-f-5

=30-f

5 less than the difference of a number f and 35 is f - 40

The expression can be represented mathematically as follows:

The difference of a number f and 35 can be represented as follows:

f - 35

5 less than the difference of a number f and 35 can be represented as follows:

(f - 35) - 5f - 35 - 5f - 40

read more: https://brainly.com/question/24383693?referrer=searchResults

If a*b means 2a + b , then what is 2*5 ?


7

9

12

14

none of these

Answers

Answer:

9

Step-by-step explanation:

let a = 2

b = 5

2a + b

Substituting the values,

=> 2(2) + 5

=> 4 + 5

=> 9

Let us consider that a = 2 ; b = 5

So, 2a + b

Substitute,

2a + b

→ 2×2 + 5

→ 4 + 5

9

Hope it helps you...

Answered by Benjemin


16. Natural numbers are closed under division. True or false

Answers

Answer:

Step-by-step explanation:

False

First you have to  know what a natural number is.

They are all the integers from 1 to infinity.

Naturally they are closed for addition. 3 + 9 = 12. You can make as many examples as you like. You will not get anything outside the natural numbers.

3934859433993393390 + 4 + 22 is still going to give you a natural number.

Subtraction is a different matter.

44 - 100 is not in the natural number system.

Multiplication is OK.

5555 * 44444 still is a member of the natural numbers.

What about division? Remember, all you need is one example that doesn't work to say that the natural numbers aren't closed. Ready. How about

33/83?

a middle school has 212 people. 118 are students. the rest are adults. what is the ratio of students to adults?

Answers

Answer:

Students:Adults = 118:94

Step-by-step explanation:

212-118=94

Can someone pls help me with 1,4,5 and 6

Answers

Answer:

(-1,4)

Step-by-step explanation:

from,

midpoint (x,y) =(x1+x2)/2, (y1+y2)/2

=(-5+7)/2, (5+3)/2

=(-1,4)

the midpoint is (-1,4)

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