Quiz about Function Operations, Compositions, and Inverses

Question 1

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

Accepted Answer

5x² + 6x - 1

Answer

11x2 - 1

Answer

5x⁴ + 6x² - 1

Answer

5x² + 8x - 1

Question 2

f(x) = x²+9

g(x) = x-9

Find (f-g)(x).

Accepted Answer

x2-x+18

Answer

x2+x+9

Answer

x2-x+9

Answer

x2-x

Question 3

Question 3.

Accepted Answer

5x2-13x-6

Answer

6x-1

Answer

5x2-15x-6

Answer

-8x-6

Question 4

Given p(x) = x - 2, find p(-4).

Accepted Answer

-6

Answer

6

Answer

2

Answer

-2

Question 5

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

Accepted Answer

3x + 4

Answer

3x2 - 2

Answer

3x + 8

Answer

None of these.

Question 6

Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute: g(f(0))

Accepted Answer

-3

Answer

-1

Answer

6x - 3

Answer

x2 + 1

Question 7

Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute: (h ^og)(x)

Accepted Answer

9x2 + 1

Answer

3x2 + 3

Answer

-1

Answer

6x - 3

Question 8

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

Accepted Answer

18x²+ 48x + 32

Answer

6x2 + 4

Answer

18x2 + 32

Answer

None of these.

Question 9

Find the inverse of f(x) = -4x - 12

Accepted Answer

f^-1(x) = -1/4x - 3

Answer

f^-1(x) = 4x - 3

Answer

f^-1(x) = 1/4x + 3

Answer

f^-1(x) = -4x - 3

Question 10

What is the inverse of the points
(1,3)(2,4)(6,8)

Accepted Answer

(3,1)(4,2)(8,6)

Answer

(-3,-1)(-4,-2)(-8,-6)

Answer

(1,3)(2,4)(6,8)

Answer

(-1,-3)(-2,-4)(-6,-8)

Question 11

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 12

are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 13

Are the following inverses of each other?

Accepted Answer

False

Answer

True

Question 14

Write the equation of the line.

Accepted Answer

y = 1/3x - 2

Answer

y = -1/3x - 2

Answer

y = 3x - 2

Answer

y = -3x - 2

Question 15

Find the inverse of f(x) = 3x +8

Accepted Answer

f^-1(x) = (x-8)/3

Answer

f^-1(x) = 3(x-8)

Answer

f^-1(x) = (8x-1)/3

Answer

f^-1(x) = (x+8)/3

Question 16

Which of these can you not solve?

Select all that apply

Accepted Answer

2x+3

Accepted Answer

x2+4x+3

Accepted Answer

-12

Answer

x2+4x+3=0

Answer

x²+4x = -3

Question 17

If a function has the point (4,-2) then its inverse must have which point?

Accepted Answer

(-2,4)

Answer

(-4,-2)

Answer

(-4,2)

Answer

(2,-4)

Question 18

Which is the correct spelling of the teacher's name

Accepted Answer

Relator

Answer

Realtor

Answer

Relater

Answer

Realtalkor

Function Operations, Compositions, and Inverses

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