Question

The function $f\left(x\right)={\cot }^{-1}x+x$ increases in the interval?

• A. $(1,\infty )$
• B. $(-1,\infty )$
• C. $(-\infty ,\infty )$
• D. $(0,\infty )$

Answer 1

The correct option is C $(-\infty ,\infty )$

With the help of graph it is clear that the function $f\left(x\right)$ increases in $(-\infty ,\infty )$.