Let `f(x) = (x^(2))/((1+x^(2))` .Then range (f ) =?A. `[1,oo)`B. `[0,1 – InterviewSolution

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1.	Let `f(x) = (x^(2))/((1+x^(2))` .Then range (f ) =?A. `[1,oo)`B. `[0,1)`C. `[-1,1]`D. `(0,1]`
Answer» Correct Answer - B `y =(x^(2))/((1+x^(2)) rArr x= sqrt((y)/(1-y))` Clearly x is defined only when `(u)/((1-y)) ge 0 " and " (1-y) ne 0 i.e., " when " 0 le y lt 1` so range (f) = [0,1)

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