Question

Find the inverse function off(x)=20x-4

Answer 1

Given:

`f(x)=20x-4`

Required:

To find the inverse of the given function.

Step-by-step explanation:

Consider

`f(x)=20x-4`

Rewrite f(x) as y,

`y=20x-4`

Swap x and y,

`x=20y-4`

Solve for y, we get

`\begin{gathered} x=20y-4 \\ \\ x+4=20y \\ \\ y=(x+4)/(20) \end{gathered}`

Final Answer:

The inverse of the given function is

`f^(-1)(x)=(x+4)/(20)`