Question

Find the inverse function

Answer 1

`{f}^( - 1) (x) = (5)/(2) x - 5.`

Step by step

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

Swap roles of x and y

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

Then

`5x = 2y + 10`

So

`2y = 5x - 10`

Hence

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

Therefore

`{f}^( - 1) (x) = (5)/(2) x - 5.`