The vertical asymptotes of f(x) = 10/(x^2-7x-30) are x = -3 or x = 10
The function is given as:
f(x) = 10/(x^2 - 7x - 30)
Set the denominator to 0
x^2 - 7x - 30 = 0
Expand the function
x^2 + 3x - 10x - 30 = 0
Factorize
(x + 3)(x - 10) = 0
Solve for x
x = -3 or x = 10
Hence, the vertical asymptotes of f(x) = 10/(x^2-7x-30) are x = -3 or x = 10
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