# Which function is the inverse of f(x) = 2x + 3?

We will use the concept of transposition to find the inverse function.

## Answer : f^{-1}(x) = (x - 3) / 2

Let's see how we will use the concept of transposition to find the inverse function.

**Explanation:**

We have been given a function f(x) = 2x + 3

For finding inverse we will solve y = 2x + 3 to write x as a function of y and that will be our inverse function.

Therefore, we have

y = 2x + 3

y - 3 = 2x

(y - 3) / 2 = x

Now substituting x in place of y and f^{-1}(x) in place of x, we get , f^{-1}(x) = (x - 3) / 2

You can use the inverse function formula to verify the result.