Question

Find the inverse of the following function of f(x)= 3 square root x+12

Answer 1

f^-1(x)= x³- 12

got this one right

Answer 2

f^(-1) (x)=x^3-2

Explanation:

f(x)= ∛(x+2)

To find the inverse,

Let

y= ∛(x+2)

Replacing x with y and y with x

x= (y+2)^(1/3)

Solving for y

x^3=[(y+2)^(1/3)]^3

x^3=y+2

y=x^3-2

Finally replacing y with f-1(x)

f^(-1) (x)=x^3-2