Question

If f(x) = $\sqrt{x}$ and $g\left(x\right)=x$ , then $\left(\frac{f}{g}\right)\left(x\right)$ equals to $(x\ne 0)$

• A. $\sqrt{x}$
• B. $x^{\frac{3}{2}}$
• C. $x$
• D. $\frac{1}{\sqrt{x}}$

Answer 1

The correct option is D

$\frac{1}{\sqrt{x}}$

$\left(\frac{f}{g}\right)\left(x\right)=\frac{f\left(x\right)}{g\left(x\right)}$

= $\frac{\sqrt{x}}{x}$

= $\frac{1}{\sqrt{x}}$