Given:
[tex]f(x)=(x-8)^2[/tex]Solve for inverse function:
the value of x and y interchange and slove for y
[tex]\begin{gathered} f(x)=y \\ y=(x-8)^2 \\ x\rightarrow y \\ y\rightarrow x \\ x=(y-8)^2 \\ y-8=\sqrt[]{x} \\ y=\sqrt[]{x}+8 \end{gathered}[/tex]Domain: Domain of function is define as a all possible input so.
[tex]\begin{gathered} y=\sqrt[]{x}+8 \\ x\ge0 \end{gathered}[/tex]