# For what values of x, if any, does #f(x) = 1/((2x+3)(x-6) # have vertical asymptotes?

x=6 and x= -3/2

For vertical asymptotes, put the denominator=0,that means (2x+3)(x-6)=0. Hence it is x=6 and x= -3/2

The graph of the function would make it clear

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The function f(x) = 1/((2x+3)(x-6)) has vertical asymptotes at x = -3/2 and x = 6.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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