Question

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

Answer 1

`f(x)=2x+1\\\\y=2x+1\\2x=y-1\\x=(y-1)/(2)\\\\f^(-1)(x)=(x-1)/(2)`

Answer 2

The inverse f-1(x) = ( x - 2) / 2.

Explanation:

Let 2x + 1 = y

Now find x in terms of y:

2x = y - 1

x = (y - 1) / 2

Replace the x by the inverse f-1(x) and the y by x, so we have:

f-1(x) = ( x - 2) / 2.