The test is tomorrow and the teacher didn't give us the answers for the review. Please help?
f(x) = (x+2)/2
Swap x with f(x) to get
x = f(x) + 2 / 2
Replace f(x) with the variable y'
x = y' + 2 / 2
Now solve for y'
2x = y' + 2
2x - 2 = y'
y' = 2x - 2
y' is your inverse function [f^–1(x)] so
Answer: f^–1(x) = 2x - 2
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Verified answer
f(x) = (x+2)/2
Swap x with f(x) to get
x = f(x) + 2 / 2
Replace f(x) with the variable y'
x = y' + 2 / 2
Now solve for y'
2x = y' + 2
2x - 2 = y'
y' = 2x - 2
y' is your inverse function [f^–1(x)] so
Answer: f^–1(x) = 2x - 2
__________________________________________________________