consider the function $g(x)=\frac{10}{x}$. the vertical asymptote is $x = square$. the horizontal asymptote…
consider the function $g(x)=\frac{10}{x}$. the vertical asymptote is $x = square$. the horizontal asymptote is $y=square$. done
Answer
Explanation:
Step1: Find vertical asymptote
Set denominator equal to 0. For $g(x)=\frac{10}{x}$, when $x = 0$, the function is undefined. So vertical asymptote is $x = 0$.
Step2: Find horizontal asymptote
As $x\to\pm\infty$, $\lim_{x\to\pm\infty}\frac{10}{x}=0$. So horizontal asymptote is $y = 0$.
Answer:
The vertical asymptote is $x = 0$. The horizontal asymptote is $y = 0$.