Question

what are the equations of the asymptotes of the graph of $f(x)=\frac{3}{x - 2}+9$? select each correct answer. $\square$ $y = 9$ $\square$ $y=-9$ $\square$ $x=-2$ $\square$ $x = 2$

Explanation:

Step1: Find vertical asymptote

Set denominator to 0: $x-2=0$ → $x=2$

Step2: Find horizontal asymptote

As $x\to\pm\infty$, $\frac{3}{x-2}\to0$, so $f(x)\to9$ → $y=9$

Answer:

A. $y=9$, D. $x=2$