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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
Let ff and gg be two functions defined by f(x)=xx+1f(x)=\frac{x}{x+1}, g(x)=x1−xg(x)=\frac{x}{1-x}. Then (f∘g)−1(x)(f \circ g)^{-1}(x) is equal to
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Correct option: A
xx
Option A (x) is correct because the composite function f(g(x)) simplifies to x, making the inverse function also x.

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