Determine the inverse for the function: P (x) = 2x 2 + 1

P -1 (x) = $$\sqrt[]{\frac{x-1}{2}}$$

P -1 (x) = $$\sqrt[]{\frac{x+1}{2}}$$

Determine if the given functions are inverses. $$f\left(x\right)=-\sqrt[]{x+3}-4$$ $$g\left(x\right)=\left(-x-4\right)^2-3$$

Yes, they are inverses with the domain restriction of $$x\le-4$$ for g(x).

Yes, they are inverse functions with no restriction

Yes, they are inverses with the domain restriction of $$x\ge-4$$ for g(x).

Yes, they are inverses with the domain restriction of $$x\le-3$$ for g(x).

Are the blue and red graphs inverse functions?

Yes, the functions reflect over y = x

No, they do not reflect over the x - axis.

What does it mean to find the inverse of a function?

the x's and y's are divided by 2

the x's and y's are made negative

Inverses of Simple Quadratic and Cubic Functions

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Inverses of Simple Quadratic and Cubic Functions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Select the table that represents the inverse of this relation:

Tags

CCSS.HSF-BF.B.4C

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Are these inverse functions?

yes

no way to tell

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Are the purple and green graphs inverses?

yes

no way to tell

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Are the purple and green graphs inverses?

yes

no way to tell

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the inverse for the function:
P (x) = 2x² + 1

Tags

CCSS.HSF-BF.B.4D

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

TRUE

FALSE

Tags

CCSS.HSF-BF.B.4A

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Inverses of Simple Quadratic and Cubic Functions

Select the table that represents the inverse of this relation:

Are these inverse functions?

Are the purple and green graphs inverses?

Are the purple and green graphs inverses?

Determine the inverse for the function: P (x) = 2x2 + 1

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

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

Identify the parent function of the graph.

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Determine the inverse for the function:
P (x) = 2x² + 1

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

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