The function x - 2 x + 1 ,(x - 1) is increasing on the interval - Vidyadip

MCQ

The function ${{x - 2} \over {x + 1}},(x \ne - 1)$ is increasing on the interval

A
$( - \infty ,\,\,\,0]$
B
$[0, \infty )$
✓
$R$
D
None of these

✓

Answer

Correct option: C.

$R$

c
(c) Since $f'(x) = \frac{3}{{{{(x + 1)}^2}}} $ is greater than $'0'$ in interval $( - \infty ,\,\infty ),$

therefore $f(x) = \frac{{x - 2}}{{x + 1}}$ is increasing in interval

$( - \infty ,\,\infty )$ or $R.$

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