Question

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

Answer 1

Answer:

The inverse  i.e f^-1 (x) is (x-1)/2

Step-by-step explanation:

The main method for finding inverse function is as follows:

We let y =f(x), and write the function as y = 2x + 1.

Next, we swap the x and y, then rearrange to make y the subject. So i.e:

x = 2y + 1 (just swapping x and y)

x - 1 = 2y

y = (x-1)/2  (solving for x).

So f^-1 (x) = (x-1)/2