Which function is the inverse of f(x) = 8x+ 4?
Mathematics · College · Tue Nov 03 2020
Answered on
Given the function f(x) = 8x + 4
Find the inverse of the function
Change f(x) to y
y = 8x + 4
Change x into y
x = 8y +4
Solve for the value of y
x = 8y +4
8y = x - 4
y = (x-4)/8
f^-1(x) = (x-4)/8
In order to check if the answer is correct, we equate the inverse function in the original function.
f(x) = 8((x-4)/8) +4
Noticed that 8 can be cancelled out leaving behind:
f(x) = x - 4 +4
f(x) = x