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Finding Nonlinear Inverses with Domain Restrictions

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Finding Nonlinear Inverses with Domain Restrictions
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine if the given functions are inverses.

Yes, they are inverse functions with no restriction

No, they are not inverses

Tags

CCSS.HSF-BF.B.4D

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Tags

CCSS.HSF-BF.B.4D

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Are the following inverses of each other?

True

False

Tags

CCSS.HSF-BF.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the inverse of the function including any restriction on domain

f-1 = x3 − 5, x ≥ 5

f-1 = x3 + 5,  x ≥ 0

f-1 = x3 + 5

Inverse does not exist

Tags

CCSS.HSF-BF.B.4D

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the inverse of the function including any restriction on domain

f-1 = (x + 3)2 − 4, x ≥ −3

f-1 = (x − 4)2 + 3,  x ≥ 4

f-1 = (x + 3)2 − 4

Inverse does not exist

Tags

CCSS.HSF-BF.B.4D

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the inverse of the function including any restriction on domain

f-1 = ((x − 1) / 2)3 − 4, x ≥ −1

f-1 = ((x + 4) / 2)3 + 1

f-1 = ((x − 4) / 2)3 − 1

Inverse does not exist

Tags

CCSS.HSF-BF.B.4D

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the inverse of the function including any restriction on domain

f-1 = 2(x − 6)3

f-1 = 2(x + 6)3

f-1 = (x − 6)3 / 2

Inverse does not exist

Tags

CCSS.HSF-BF.B.4D

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