Given:
The function is,
[tex]g(x)=550+40x[/tex]
Explanation:
Assume y = g(x). So
[tex]\begin{gathered} y=g(x) \\ =550+40x \end{gathered}[/tex]
Replace variable x with y and y with x.
[tex]x=550+40y[/tex]
Solve the equation for y.
[tex]\begin{gathered} x=550+40y \\ 40y=x-550 \\ y=\frac{x-550}{40} \end{gathered}[/tex]
So inverse of function g(x) is,
[tex]g^{-1}(x)=\frac{x-550}{40}[/tex]
