Question

What is the inverse of the function below f(x) =x/5 -2

Answer 1

inverse f(x) =x/5 -2 = 5(x+2)

Answer 2

`y=5x+10`

Explanation:

`f(x)=(x)/(5) -2`

To find the inverse of the function we do the following steps

Replace f(x) with y

`y=(x)/(5) -2`

Replace y with x and x with y

`x=(y)/(5) -2`

Solve the equation for y

Add 2 on both sides

`x+2=(y)/(5)`

Now multiply by 5 on both sides

`5(x+2)=y`

Now distribute 5 inside the parenthesis

`5x+10= y`

`y=5x+10`