X - 1. If f(x) = ** then find f{f(x...
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X - 1. If f(x) = ** then find f{f(x)} x + 1

JEE/Engineering Exams
Maths
Solution
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( f(x)=frac{x-1}{x+1} ) ( f(f(x))=frac{frac{x-1}{x+1}-1}{frac{x+1}{x+1}+1}=frac{(x-1)-(x+1)}{x-1+x+1} ) [ =frac{-2}{2 x}=frac{1}{x} text { frose } ]
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