Find the inverse of the Function f(x)=\sqrt[3]{(x)/(9) } -4

Question

Find the inverse of the Function

`f(x)=\sqrt[3]{(x)/(9) } -4`

Answer 1

9514 1404 393

Answer:

D

Explanation:

Solve x = f(y) for y.

x = ∛(y/9) -4

x +4 = ∛(y/9) . . . . . add 4

(x +4)³ = y/9 .. . . . . cube

9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice