SOLUTION: For f(x)= -8x/x-2, find f^-1(x). State any restrictions on the domain of f^-1(x).

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Question 323302: For f(x)= -8x/x-2, find f^-1(x). State any restrictions on the domain of f^-1(x).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For f(x)= -8x/x-2, find f^-1(x).
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1st: interchange x and y to get
x = -8y/(y-2)
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2nd: solve for "y":
Cross-multiply to get:
xy-2x = -8y
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Rearrange:
8y+xy = 2x
Factor:
y(8+x) = 2x
f^-1(x) = 2x/(8+x)
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State any restrictions on the domain of f^-1(x).
x cannot be -8
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Cheers,
Stan H.