Question

How do you find the inverse of `g(x)=(x-5) / 2`?

Answer 1

`f^-1(x) = 2x + 5`

Explanation:

if you rewrite the equation as `y = (x - 5 )/2`

then to find the inverse function ie. what is x in term of y you just have to change the subject to x.

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

and so x = 2y + 5

finally change the y back to x so that the function is a function of x.

`rArr f^-1(x) = 2x + 5`