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) = 2x+5

Answer 1

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

Explanation:

To get inverse of a function, we follow the steps shown below:

1. Change f(x) to y, if applicable

2. Interchange x and y

3. Solve for new y

That is the function, name it if applicable.

So, we have:

f(x) = 2x - 10

Now, we do:

y = 2x - 10

Now, we interchange x and y:

x = 2y - 10

Now, we solve for y:

`x = 2y - 10\\2y=x+10\\y=(x+10)/(2)\\y=(1)/(2)x+5`

This is the inverse function:

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