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Test whether the following funtions are ...

Test whether the following funtions are increasing or decreasing :
`f(x)=x-(1)/(x), x in R, x ne 0`.

Text Solution

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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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