Find the inverse function of f. f(x) = x x + 8 f −1(x) =

Algebra
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Find the inverse function of f.
f(x) = 
x
x + 8
f −1(x) = 
Jul 1st, 2015

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y = x/(x+8)

Interchanging x and y, we get x = y/(y+8)

xy+8x =y

8x = y(1-x)

Or, y = 8x/(1-x)

Hence, f^-1(x) = 8x/(1-x)   Ans.

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Jul 1st, 2015

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