Question

What is the inverse of the function f(x) = 2x – 10? h(x) = 2x – 5 h(x) = 2x + 5 h(x) = 1/2x – 5 h(x) = 1/2x + 5

Answer 1

The function given to us is:

$f(x)=2x-10$

We need to find the inverse of $f(x)$. Interchanging the variables 'x' and 'y' we calculate the inverse:

Lets say $f(x)=y$ so we have,

$y=2x-10$ after interchanging the variables we get:

$x=2y-10$

Solving for 'y' we get:

$2y=x+10$

$y=\frac{(x+10)}{2} =\frac{1}{2} x+5$

Therefore, the inverse of the function $f(x)$, which we had assumed 'y' is $h(x)=\frac{1}{2}x+5$