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Finding Inverses of Functions

Finding Inverses of Functions

Assessment

Interactive Video

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF-BF.B.4A, 7.EE.B.4A, HSA.REI.A.2

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF-BF.B.4A
,
CCSS.7.EE.B.4A
,
CCSS.HSA.REI.A.2
This video tutorial covers the concept of inverse functions, explaining the steps to determine the inverse of a given function. It provides three examples: finding the inverse of x - 3, 4x + 5, and a fractional function. The video concludes with practice problems for viewers to solve.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the inverse of a function?

Solve for x in terms of y

Switch x and y

Multiply by the reciprocal

Replace f(x) with y

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of f(x) = x - 3, what is the inverse function?

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

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

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

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

Tags

CCSS.HSF-BF.B.4A

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse of f(x) = x - 3?

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

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

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

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

Tags

CCSS.7.EE.B.4A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to isolate x in the equation y = 4x + 5?

Add 5 to both sides

Divide both sides by 4

Multiply both sides by 4

Subtract 5 from both sides

Tags

CCSS.HSF-BF.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse of the function f(x) = 4x + 5?

f^(-1)(x) = (x - 5) / 4

f^(-1)(x) = 4x - 5

f^(-1)(x) = 5x - 4

f^(-1)(x) = (x + 5) / 4

Tags

CCSS.HSF-BF.B.4A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of f(x) = 4x + 5, what is the inverse function?

f^(-1)(x) = 5x - 4

f^(-1)(x) = (x + 5) / 4

f^(-1)(x) = 4x - 5

f^(-1)(x) = (x - 5) / 4

Tags

CCSS.HSA.REI.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the rational function example, what is the first step after replacing f(x) with y?

Add 3 to both sides

Divide by 2

Subtract 5 from both sides

Cross-multiply to eliminate the fraction

Tags

CCSS.HSF-BF.B.4A

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