consider the function $g(x)=\frac{10}{x}$. the vertical asymptote is $x =$. the horizontal asymptote is $y…

Explanation:

Step1: Find vertical asymptote

Set the denominator equal to 0. For $g(x)=\frac{10}{x}$, when $x = 0$, the function is undefined. So the vertical - asymptote is given by the equation $x = 0$.

Step2: Find horizontal asymptote

For a rational function of the form $y=\frac{a}{x^n}$ (where $a$ is a non - zero constant and $n$ is a positive integer), as $x\to\pm\infty$, $y\to0$. For $g(x)=\frac{10}{x}$, as $x\to\pm\infty$, $g(x)\to0$. So the horizontal asymptote is $y = 0$.

Answer:

The vertical asymptote is $x = 0$. The horizontal asymptote is $y = 0$.