Andrew M. answered • 12/30/16

Tutor

New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Take for example:

f(x) = 2-x

Step 1: replace f(x) with y

y = 2 - x

Step 2: switch x and y in the equation

x = 2 - y

Step 3: solve for y

x-2 = -y

-x+2 = y

y = 2 - x

Step 4: Replace y with f

^{-1}(x)f

^{-1}(x) = 2-xAs you can see, f(x) and the inverse f

^{-1}(x) are the sameAnother very simple example would be the function

f(x) = x or y = x