Question

question 9 · 1 point
consider the graph of the function $f(x) = \frac{x^2 - 3x - 4}{x^2 - 9x + 8}$.
what are the vertical asymptotes? list the $x$-values separated by commas.
provide your answer below:
$x = \square$

Explanation:

Step1: Factor numerator and denominator

Numerator: $x^2 - 3x - 4 = (x-4)(x+1)$
Denominator: $x^2 - 9x + 8 = (x-1)(x-8)$

Step2: Find undefined points

Denominator zero when $(x-1)(x-8)=0$ → $x=1,8$. No common factors with numerator, so these are vertical asymptotes.

Answer:

1,8