Inverse Functions of Quadratic or Cubic

Are the purple and green graphs inverses?

• yes

• no

• no way to tell

Are the purple and green graphs inverses?

• yes

• no

• no way to tell

Select the table that represents the inverse of this relation:

• 
• 
• 
• 

Which is f^-1(x)?

• f^-1(x)=4(x+3)³

• f^-1(x)=(4x+12)³

• f^-1(x)=3+1/4(x)³

• f^-1(x)=1/4(x+3)³

• A
• B
• C
• D

Which is f^-1(x)?

• f^-1(x)=3∛(x-6)

• f^-1(x)=-6+3∛x

• f^-1(x)=∛(3x-18)

• f^-1(x)=3(x-6)³

Determine the inverse for the function:

P (x) = 2x² + 1

If a given function f(x) has an inverse function g(x), which of the following statements is true?

• If (a, b) is on the graph of f(x), then the inverse graph of g(x) must contain (–a, –b).

• If (a, b) is on the graph of f(x), then the inverse graph of g(x) must contain (–b, –a).

• If f(x) has an x-intercept at (c, 0), then the x-intercept of the inverse graph g(x) must be (c, 0).

• If f(x) has an x-intercept at (c, 0), then the y-intercept of the inverse graph g(x) must be (0, c).

• (–4, –4)

• (–1, 0)

• (0, 1)

• (0, 4)