Question

What is the inverse of the function f(x) = 2x - 10

Answer 1

Answer:

D. $h(x)= \frac{x}{2}+5$

Step-by-step explanation:

our function is

f(x)=2x-10

we are asked to determine the inverse of the above function . In order to do so we put f(x) = y and separate x in terms of y and in the final answer , we replace x with y and x with h(x)

let us see how do we do that

y=2x-10

adding 10 on both side

y+10=2x

dividing both sides by 2 we get

$\frac{y+10}{2}=x$

$x= \frac{y}{2}+\frac{10}{2}$

$x= \frac{y}{2}+5$

we replace x with y and x with h(x)

$h(x)= \frac{x}{2}+5$

Hence

option D is correct