list all the asymptotes of the following func...
list all the asymptotes of the following function, then graph the function. r(x)=7/(x^2 - 36) what is/are the equation(s) of the vertical asymptote(s) of r(x)? select the correct choice and, if necessary, fill in the answer b complete your choice. a. the vertical asymptote(s) is/are. (use a comma to separate answers as needed. type an equation(s).) b. there is no vertical asymptote.
Answer
# Explanation:
## Step1: Find values for vertical asymptotes
Set denominator equal to 0: $x^{2}-36 = 0$.
## Step2: Solve the equation
Factor $x^{2}-36$ as $(x + 6)(x - 6)=0$. Then $x+6 = 0$ or $x - 6=0$, so $x=-6$ or $x = 6$.
# Answer:
A. The vertical asymptote(s) is/are $x=-6,x = 6$