Question

Find the inverse of the function.

Answer 1

Answer:

A) $f^{-1}(n)= (n+2)^3$

Step-by-step 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!

Answer 2

Answer:

Option A

Step-by-step 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)