Quiz about Inverse Functions

Question 1

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

Accepted Answer

False

Answer

True

Question 2

Was the inverse function found correctly?

Accepted Answer

no,

Answer

yes

Question 3

What operation allows us to verify if functions are inverses?

Accepted Answer

Composing

Answer

Multiplying

Answer

Dividing

Answer

Adding

Question 4

The composition of any function, f(x), and
its inverse, f^-1(x) =

Accepted Answer

x

Answer

f(x)

Answer

1

Answer

0

Question 5

Question 5.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 6

Are the following inverses of each other?

Accepted Answer

True

Answer

False

Question 7

Are these functions inverses?

Accepted Answer

Yes

Answer

No

Question 8

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 9

If f(x) = 3x-9, what is f^-1(12)?

Accepted Answer

7

Answer

25

Answer

9

Answer

11

Question 10

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

Accepted Answer

g(-1) = 2

Answer

g(-2) = 0

Answer

g(1) = 1

Answer

g(-2) = -3

Question 11

In an inverse function, the _____ and _______ are switched from the original

Accepted Answer

input and output

Answer

f(x) and g(x)

Answer

positives and negatives

Answer

slope and intercept

Question 12

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 13

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Accepted Answer

(4, 1) and (6, 4)

Answer

(1, 4) and (4, 6)

Answer

(-4, -1) and (-6, -4)

Answer

(-1, -4) and (-4, -6)

Question 14

TRUE or FALSE?
If f(g(x)) = x, then f and g must be inverses of one another.

Accepted Answer

FALSE

Answer

TRUE

Question 15

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

Accepted Answer

-1

Answer

1

Answer

2

Answer

-2

Question 16

Question 16.

Accepted Answer

FALSE

Answer

TRUE

Question 17

What is the best description?

Accepted Answer

They are reflected over y=x, but they are not both functions.

Answer

They are both functions, but not inverse functions.

Answer

They are inverse functions.

Answer

They are not reflected over y=x, and they are not both functions.

Question 18

Question 18.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Inverse Functions

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