The range of `f(x) =x+ (1)/(x) ` isA. `[-2,2]`B. `[2,oo)`C. `(-oo,-2]` – InterviewSolution

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1.	The range of `f(x) =x+ (1)/(x) ` isA. `[-2,2]`B. `[2,oo)`C. `(-oo,-2]`D. none of these
Answer» Correct Answer - D `y = (x^(2)+1)/(x) rArr x^(2) -xy +1=0rArr x= (y+- sqrt(y^(2) -4))/(2)` x is defined when `(y^(2) -4) ge 0 rArr y^(2) ge 4 rArr y ge 2 " or " le -2` `:. " range " (f) =(-oo, -2] uu [2,oo)`

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