Find the vertical asymptotes of the function y = x2 + 35x − 2x2. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x =
Question
Find the vertical asymptotes of the function y = x2 + 35x − 2x2. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x =
Solution
The function given is y = x^2 + 35x - 2x^2.
First, simplify the function. Combine like terms:
y = -x^2 + 35x
This is a quadratic function, not a rational function.
Vertical asymptotes are found when the denominator of a rational function is equal to zero. However, since this is not a rational function, it does not have any vertical asymptotes.
So, the answer is DNE (Does Not Exist).
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