2-6-27
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On this problem, we need to figure out how to get rid of the
complex fraction.
So if we have 9 square roots of X + 1 / X to the 9th all divided
by 8 X -6, if I multiply the top and the bottom by X to the 9th
over X to the 9th, I get 9.
Remember, square root of X is really just X to the half.
So 9X to the half, X to the 9th plus one all over, 8X to the
10th -6 X to the 9th.
When I multiply that X to the half, X to the 9th, we add
exponents.
So 9X to the 9 1/2 + 1 / 8, X to the 10th -6 X to the 9th.
The degree on the bottom is bigger, so we have a horizontal
asymptote at y = 0.
So if we thought about this graph when we were getting way
out to Infinity for X, our Y would be going to 0.
So our answer for this problem is 0.