If the equation frac{1}{x} + frac{1}{x - 1} + | vedclass

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(C) Let $f(x) = \frac{1}{x} + \frac{1}{x - 1} + \frac{1}{x - 2}$ and $g(x) = 3x^3$.We need to find the number of intersection points of the graphs of

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$4$

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(C) Let $f(x) = \frac{1}{x} + \frac{1}{x - 1} + \frac{1}{x - 2}$ and $g(x) = 3x^3$.We need to find the number of intersection points of the graphs of $f(x)$ and $g(x)$.The function $f(x)$ has vertical asymptotes at $x = 0, x = 1,$ and $x = 2$.$1$. For $x $2$. For $0 $3$. For $1 $4$. For $x > 2$,$f(x)$ goes from $+\infty$ to $0$ as $x 	o \infty$. $g(x)$ goes from $24$ to $+\infty$. There is one intersection point in $(2, \infty)$.Thus,there are $4$ real roots.

If the equation $\frac{1}{x} + \frac{1}{x - 1} + \frac{1}{x - 2} = 3x^3$ has $k$ real roots,then $k$ is equal to -

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