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

Solution:

We will be using the inverse function to solve this.

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 

Thus, the Inverse of the function f(x) = 2x + 1 is f^-1(x) = x/2 - 1/2.

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

Summary:

The Inverse of the Function f(x) = 2x + 1 is f^-1(x) = x/2 - 1/2