What is domain and range of the following function f(x) = -√(x-4) + 1

D: all real numbers R: all real numbers

What is the inverse to the function ƒ(x) = 10 (2x - 4) + 6

f -1 (x) = ½log(x − 6) − 2

What key feature do all these functions have in common ? -Cube Root -Exponential -Linear

All of the functions have a domain of all real numbers

All of the functions have a range of all real numbers

All of the functions have a critical point

All of the functions have an asymptote

Are these graphs inverses of each each other?

Not enough information to determine

What is the domain and range of this graph?

D: all real numbers R: all real numbers

What is the first step in finding the inverse of the function ƒ(x) = -3(x-4)² + 4?

Switch x and y in the equations

Inverse Functions

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.B.4A

Standards-aligned

Used 32+ times

FREE Resource

Student preview

34 questions

Show all answers

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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Inverse Functions

34 questions

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

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

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

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

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

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?

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

TRUE or FALSE
The inverse of f(x) = x² is g(x) = √(x).

TRUE or FALSE
The inverse of f(x) = x³ is g(x) = ∛x

Access all questions and much more by creating a free account

Popular Resources on Wayground

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Inverse Functions

34 questions

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

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

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

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

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

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?

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

TRUE or FALSEThe inverse of f(x) = x2 is g(x) = √(x).

TRUE or FALSEThe inverse of f(x) = x3 is g(x) = ∛x

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

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

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

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

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?

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

TRUE or FALSE
The inverse of f(x) = x² is g(x) = √(x).

TRUE or FALSE
The inverse of f(x) = x³ is g(x) = ∛x