F(x) and g(x) are functions. If f(x) = x^2 - 1 and f/g(x) = (x+1)^2, find g(x)
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F(x) and g(x) are functions. If f(x) = x^2 - 1 and f/g(x) = (x+1)^2, find g(x)

[From: ] [author: ] [Date: 11-05-12] [Hit: ]
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I'm stumped! Please show me how to do this>

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f/g(x) = (x+1)^2
Multiply both sides by g(x):
f(x) = (x+1)^2 (g(x))
Substitute what's given for f(x):
x^2 - 1 = (x+1)^2 (g(x))
Divide by (x+1)^2
g(x) = (x^2 - 1) / (x+1)^2
Cancel the common factor (x+1):
g(x) = (x - 1) / (x + 1)
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