# What is the Inverse of the Function f(x) = 2x – 10?

We will be using the inverse function to solve this.

## Answer: The Inverse of the Function f(x) = 2x – 10 is f^{-1}(x) = x/2 + 5

Let us solve it step by step.

**Explanation:**

f(x) = 2x – 10

Replace f(x) with y.

y = 2x - 10

Interchange x and y

x = 2y - 10

Solve for y

y = (x + 10) / 2

Replace y with f^{-1}(x).

f^{-1}(x) = x/2 + 5