Question

find all asymptotes, x - intercepts, and y - intercepts for the graph of the rational function and sketch the graph of the function.
f(x)=\frac{1}{x - 5}
find all vertical asymptotes. select the correct choice below and, if necessary, fill in the answer box within your choice.
○a. x=
(simplify your answer. use a comma to separate answers as needed.)
○b. there are no vertical asymptotes.

Explanation:

Step1: Find vertical asymptote

Set the denominator equal to 0. For $f(x)=\frac{1}{x - 5}$, we solve $x-5=0$.
$x - 5=0$

Step2: Solve the equation

Add 5 to both sides of the equation.
$x=5$

Answer:

A. $x = 5$