Question

cubic & cube root functions as inverses practice
complete this assessment to review what youve learned. it will not count toward your grade.
true or false? the function $f(x) = x^3$ and its inverse $f^{-1}(x) = \sqrt3{x}$ are reflected over the line $y = -x$
option #1: true
option #2: false
(1 point)

Explanation:

Step1: Recall inverse function reflection

The graph of a function and its inverse are reflected over the line \( y = x \), not \( y=-x \).

Step2: Analyze given functions

For \( f(x)=x^3 \) and \( f^{-1}(x)=\sqrt[3]{x} \), their graphs are symmetric about \( y = x \), not \( y=-x \).

Answer:

Option #2: False