Test whether the following funtions are increasing or decreasing : `f( – InterviewSolution

InterviewSolution

1.	Test whether the following funtions are increasing or decreasing : `f(x)=x-(1)/(x), x in R, x ne 0`.
Answer» Given, `f(x)=x(1)/(x)` `:. F(x)=1+(1)/(x^(2))` Now, `x^(2) ge0` for all `x in R.` `:. 1+(1)/(x^(2))gt0`, for all `x in R`. `:. f(x)gt0` `:. f(x)` is increasing.

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