Question

What is the inverse of the function

Answer 1

A

Explanation:

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

y =
`(19)/(x^3)` ( multiply both sides by x³ )

x³y = 19 ( divide both sides by y )

x³ =
`(19)/(y)` ( take the cube root of both sides )

x =
`\sqrt[3]{(19)/(y) }`

Change y back into terms of x, then

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