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

`h(x)=(1)/(2)x+5`

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

`(1)/(2)x+5=y`

now replace y with h(x)

`h(x)=(1)/(2)x+5`