what is the equation for the vertical asymptote of the function y = (x - 6)/(x + 7)? x = 6 x = -7 y = -7 y = 6

Answer:

B. $x = - 7$

Explanation:

Step1: Recall vertical - asymptote rule

For a rational function $y=\frac{f(x)}{g(x)}$, vertical asymptotes occur where $g(x)=0$.

Step2: Identify $g(x)$ in given function

In $y = \frac{x - 6}{x + 7}$, $g(x)=x + 7$.

Step3: Solve $g(x)=0$

Set $x+7 = 0$, then $x=-7$. So the vertical asymptote is $x = - 7$.