List the x values of the inflection points of f. If there are no inflection points, enter 'NONE'.

f(x)=(x^2)/(6x^2)+8
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1 Answer

The function isn't defined for x=0 because that would result in division by zero. All other values of x are valid, but the function becomes 1/6+8=49/6, which is a constant, graphed as a straight line parallel to the x axis. So there is no inflection point: NONE.

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