Solve for x + (1/x): 3x + (2/x) - 4 = 2(x+9) - (7 - (1/x))
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A function has a vertical asymptote where it is not defined, and the logarithm is defined only if its argument is strictly positive: it has a vertical asymptote if its argument is zero, and is not defined if its argument is negative.
So, you have a vertical asymptote where