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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
If f(y)=y(1−y2),g(y)=y(1+y2)f(y)=\frac{y}{\sqrt{\left(1-y^2\right)}}, g(y)=\frac{y}{\sqrt{\left(1+y^2\right)}}, then (fog)y(f o g) y is equal to
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Correct option: C
yy
Option C (y) is correct because the composite function (f o g)(y) simplifies to y after substituting and simplifying.

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