Question

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

Answer 1

I got 0.5 not sure!!

Answer 2

Answer:

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

Step-by-step explanation:

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

To find the inverse of the given function , we replace f(x) by y

$y= 2x - 10$

Now switch the variables, replace x with y and y with x

$x= 2y - 10$

Solve for y

Add 10 on both sides

$x+10=2y$

Now divide by 2 on both sides

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

now replace y with h(x)

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