Question

Find the vertical asymptote of the graph y=3 + 12/ x - 5

Answer 1

To find the vertical asymptote of the function \( y = 3 + \frac{12}{x - 5} \), we need to identify where the function is undefined.

The expression \( \frac{12}{x - 5} \) is undefined when the denominator equals zero. Thus, we set the denominator to zero and solve for \( x \):

\[
x - 5 = 0
\]
\[
x = 5
\]

Therefore, there is a vertical asymptote at \( x = 5 \).

In conclusion, the vertical asymptote of the graph \( y = 3 + \frac{12}{x - 5} \) is \( x = 5 \).