Show all work to identify the asymptotes and zero of the function f of x equals 6 x over quantity x squared minus 36.

Given the function

We can find its asymptotes, by finding the points where the function is not defined. This function has a denominator (and no even roots or logarithms), so it will only have troubles when the denominator is zero.

So, it's asymptotes are given by

On the other hand, the zeroes of the function are given by

But a fraction equals zero if and only if its numerator equals zero:

So, the asymptotes are the lines x = 6 and x = -6, whereas the only zero is x=0.

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step-by-step explanation:

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the correct answer is x/3+10≥32

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