If , where , and , the least value of is given…

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

If f(x)=1−x1+xf(x)=\frac{1-x}{1+x}, where x>0x>0, and y=f(f(x))+f(f(1x))y=f(f(x))+f\left(f\left(\frac{1}{x}\right)\right), the least value of yy is given by (a) 1 (b) 2 (c) 3 (d) 4

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