Find the inverse of f ( x ) = 2 x + 3

Question

I am having trouble with this question! Help please!!

Answer 1

Hi, there! Finding the inverse of a function is quite easy! First, replace f(x) with y:

y = 2x + 3

Now, you are going to switch the x and y:

x = 2y + 3

Last step is to solve the equation for y:

x = 2y + 3

-3 -3

x - 3 = 2y / 2

(x - 3) / 2 = y

The inverse is written as f '(x) so your final answer is:

f '(x) = (x - 3) / 2