Question

if $f\left(x\right)=\frac{1}{\sqrt{\log x}}$ Domain of f

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

Answer 1

Answer: (B)

$R-(-\infty ,1]$

The function $f\left(x\right)=\frac{1}{\sqrt{\log x}}$ is defined only when $\sqrt{\log x}\ne 0\log x>0x>1R-(-\infty ,1]$