Answers

2014-11-25T19:44:31+08:00
How to get inverse function:
Step 1. Change x to f(x) or x to f(x) and vice versa.
Step 2. You will need to derive the function to have f(x) or y in the other side again.

If it is indeed f(x) = 4/x + 2, then the inverse function will be f(x) = 4/(x-2).
Solution:  Let the "f(x)" be "y" here,
x = 4/y+2
x-2 = 4/y
(x-2)/4 = 1/y
4/(x-2) = y therefore the inverse of f(x) 4/x + 2 is f(x) = 4/(x-2).

However, if it is merely a typographical error and intended to be f(x) = 4/(x+2), then the inverse of the function will be f(x) = 4/x - 2
Solution: Let the "f(x)" be "y" here.
x = 4/(y+2)
y+2 = 4/x
y = 4/x - 2 therefore the inverse of f(x) = 4(x+2) is f(x) = 4/x - 2
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2014-11-25T20:31:35+08:00

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Inverse function means changing x to y
f(x)=4/(x+2)
y=4/(x+2)
x=4/(y+2)
x(y+2)=4
xy+2x=4
xy=4-2x
y=(4-2x)/x
x≠0

Hope this helps =)
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