SOLUTION: Find the inverse function, if it exists of f(x)=5/(x-4)

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Question 739648: Find the inverse function, if it exists of f(x)=5/(x-4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the inverse function, if it exists of f%28x%29=5%2F%28x-4%29 is f%5E-1%28x%29
f%28x%29=y
y=5%2F%28x-4%29......solve for x
%28x-4%29y=5
xy-4y=5
xy=4y%2B5
x=%284y%2B5%29%2Fy
...switch y and x
the new "y =" is the inverse:
y=%284x%2B5%29%2Fx