Question

The domain of the function $f\left(x\right)=\frac{1}{\sqrt{(x-1)(x-2)}}$ is.

• A. $(\infty ,2)\cup (1,\infty )$
• B. $R-[1,1]$
• C. $(\infty ,-2)\cup (1,\infty )$
• D. $(\infty ,1)\cup (2,\infty )$

Answer 1

Answer: (D)

$(\infty ,1)\cup (2,\infty )$

For $f\left(x\right)$ to be defined $(x-1)(x-2)>0$
$\Rightarrow x\in (-\infty ,1)\cup (2,\infty )$