Question

What is the inverse of the function below? f(x) = x – 5

Answer 1

The inverse of f(x) = x - 5 is y = x + 5

Answer 2

ANSWER

The inverse is


`f ^( - 1) (x) = x + 5`


Step-by-step explanation

The given function is


`f(x) = x - 5`

To find the inverse of this function, we let


`y = f(x)`

This implies that,


`y = x - 5`


We now interchange x and y to obtain,


`x = y - 5`



We make y the subject again by adding 5 to both sides to get,


`x + 5 = y - 5 + 5`


This implies that,


`x + 5 = y`

or


`y = x + 5`

This new function is the inverse of the given function.

Therefore


`f ^( - 1) (x) = x + 5`