Question

What is the inverse of the function

Answer 1

Answer:

A

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = $\frac{19}{x^3}$ ( multiply both sides by x³ )

x³y = 19 ( divide both sides by y )

x³ = $\frac{19}{y}$ ( take the cube root of both sides )

x = $\sqrt[3]{\frac{19}{y} }$

Change y back into terms of x, then

$f^{-1}$ (x) = $\sqrt[3]{\frac{19}{x} }$ = $\frac{\sqrt[3]{19} }{\sqrt[3]{x} }$ → A