$$y=\dfrac{2-\sqrt{x}}{5\cdot x}$$

Find any intercepts:

Y-intercept:

let $x=0$ and solve for $y$

$$\begin{align*} y&=\dfrac{2-\sqrt{x}}{5\cdot x}\\ y&=\dfrac{2-\sqrt{0}}{5\cdot 0}\\ y&=\infty \\ \end{align*}$$

So, y-intercept does not exist .

X-intercept :

Let $y=0$ and solve for $x$:

$$\begin{align*} y&=\dfrac{2-\sqrt{x}}{5\cdot x}\\ 0&=\dfrac{2-\sqrt{x}}{5\cdot x}\\ 0&=2-\sqrt{x}\\ \sqrt{x}&=2\\ \sqrt{x}^{2}&=2^{2}\\ x&=4\\ \end{align*}$$

So, x-intercept is $\left(4,0 \right)$