Answer :
Given:
[tex]f(x)=20x-4[/tex]Required:
To find the inverse of the given function.
Explanation:
Consider
[tex]f(x)=20x-4[/tex]Rewrite f(x) as y,
[tex]y=20x-4[/tex]Swap x and y,
[tex]x=20y-4[/tex]Solve for y, we get
[tex]\begin{gathered} x=20y-4 \\ \\ x+4=20y \\ \\ y=\frac{x+4}{20} \end{gathered}[/tex]Final Answer:
The inverse of the given function is
[tex]f^{-1}(x)=\frac{x+4}{20}[/tex]