Question

Find the inverse of the function.

Answer 1

Option A

Explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both both sides to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) = (n+2) to the 3rd power (option A)

Answer 2

A)
`f^(-1)(n)= (n+2)^3`

Explanation:

`f(n) = \sqrt[3]{n} -2`

`y = \sqrt[3]{n} -2`

`y = n^(1/3)-2`

`n = y^(1/3) -2`

`n + 2 = y^(1/3)`

`y = (n + 2) ^3`

`f^(-1)(n) = (n + 2)^3`

Hope this helps!