Explanation:
To find the vertical asymptotes of the function f(x) = (x^2+3x+6)/(x^2-4), we need to find the values of x that make the denominator equal to zero.
The denominator (x^2-4) factors into (x+2)(x-2). Therefore, the denominator is equal to zero when x = -2 or x = 2.
These values of x give us vertical asymptotes since the function becomes unbounded as x approaches these values. Therefore, the vertical asymptotes of the function are x = -2 and x = 2.
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