# What is the inverse of the function f(x) = 2x + 1?

We will be using the inverse function to solve this.

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

Let us solve it step by step.

**Explanation:**

f(x) = 2x + 1

Replace f(x) with y.

y = 2x + 1

Interchange x and y

x = 2y + 1

Solve for y

y = (x - 1) / 2

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

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