Question

Help me find the inverse?
f(x) = cube root(x/8) -4

Answer 1

\(\bf \large f(x)={\color{blue}{ y}}=\sqrt[3]{\cfrac{{\color{red}{ x}}}{8}}-4\qquad inverse\implies {\color{red}{ x}}=\sqrt[3]{\cfrac{{\color{blue}{ y}}}{8}}-4\)

notice, to find the "inverse relationship" all you'd do is swap about the variables
then solve for "y"

Answer 2

try obtaining the opposites
- turns into + and vice versa
multiplication turns into division and vice versa
so roots turn into powers and vice versa

see if this works

Answer 3

Ok so I think the answer is f^-1(x) = 8(x + 4)^3
But the fraction in the cube root is confusing me. Is that correct?

Answer 4

yeah. that's correct. god job

Answer 5

Yay thank you!