Question

If f(x) = (x + 3)4, find the inverse of f.f -1(x) = x1/4 - 3f -1(x) = x1/4 + 3f -1(x) = 3x1/4f -1(x) = x1/4 /3

Answer 1

Given:

The function

`f(x)=(x+3)^4`

Required:

FInd inverse of f.

Step-by-step explanation:

Function inverse definition

`\text{ A function }g\text{ is the inverse of function f if for }y=f(x),x=g(y).`

Now,

`\begin{gathered} y=(x+3)^4 \\ \text{ Replace x with y} \\ x=(y+3)^4 \\ \text{ Solve for y,} \\ x=(y+3)^4 \\ y=x^{(1)/(4)}-3 \end{gathered}`

Answer:

Option A is correct.