AP Calculus AB / limits and continuity / Question No. 35

35. The function ℎ is defined by

\[ h(x) = \left( \frac{x^2 - x - 20}{x + 4} \right) \ln \left( \frac{x^2 + 10x + 25}{x^2 + 5x} \right) \]

At what values of \(x\) does the graph of \(h\) have a vertical asymptote?

x =−5 only

x = 0 only

x =−5 and x = 0 only

x =−5, x= 0 and x = -4

Answer is: option3 - x =−5 and x = 0 only

Solution:

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