Question

The domain of the function $f\left(x\right)=\frac{1}{x^{\log x}}$ is

• A. $R$
• B. $(0,\infty )$
• C. $R-\left\{1\right\}$
• D. $R-\left\{0\right\}$

Answer 1

Answer: (B)

$(0,\infty )$

$x^{\log x}$ is never equal to zero.
$\log x$ is defined only for $x>0$
$\therefore$ $f$ is defined for $x\in (0,\infty )$