Inverse Functions

Inverse Functions

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF-BF.B.4A

Standards-aligned

Used 32+ times

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34 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

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

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

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

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

TRUE
FALSE

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

1
-1
2
-2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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?

g(-2) = -1
g(2) = 1
g(-2) = 1
g(1) = 2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

TRUE or FALSE
If f is an invertible function and f(a) = b, then f-1(b) = a.

TRUE
FALSE

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