Given:
The function
[tex]f(x)=(x+3)^4[/tex]
Required:
FInd inverse of f.
Explanation:
Function inverse definition
[tex]\text{ A function }g\text{ is the inverse of function f if for }y=f(x),x=g(y).[/tex]
Now,
[tex]\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^{\frac{1}{4}}-3 \end{gathered}[/tex]
Answer:
Option A is correct.
