ANSWER:
[tex]f^{-1}(x)=\frac{x-8}{3}[/tex]
STEP-BY-STEP EXPLANATION:
We have the following function:
[tex]f(x)=3x+8[/tex]
To calculate the inverse x is f^-1 (x)and f (x) is x, just like that
[tex]\begin{gathered} x=3\cdot f^{-1}(x)+8^{} \\ 3\cdot f^{-1}(x)+8=x \\ 3\cdot f^{-1}(x)=x-8 \\ f^{-1}(x)=\frac{x-8}{3} \end{gathered}[/tex]
