Question

The domain of the function $f\left(x\right)=\frac{1}{\sqrt{x^2-3x+2}}$ is

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

Answer 1

Answer: (B)

For f (x) to be defined, we must have
$x^2-3x+2=\left(x-1\right)\left(x-2\right)>0\Rightarrow x<1$ or $>2$
Domain of $f=\left(-\infty ,1\right)\cup \left(2,\infty \right).$