Question

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

Answer 1

Answer:

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

Step-by-step 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:

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

This is the inverse function:

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