Find the equation of all vertical asymptotes of the following function. f(x)=(2x-6)/(x^2)-4x-12 Answer Attempt 2 out of 2 square

Question

Answer 1

To find the vertical asymptotes of the function

, we need to determine the values of

for which the denominator is equal to zero, as these are the points where the function is undefined.The denominator of the function is

. To find the values of

that make the denominator zero, we can factor the quadratic expression:

Setting each factor equal to zero gives us the values of

that make the denominator zero:

or

Solving for

, we get:

or

Therefore, the function

has vertical asymptotes at

and

.

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