Question 206133
{{{f(x)=(5x-3)/(x^3+2x^2)}}}
The function is undefined when the denominator equals 0.
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Set the denominator equal to 0.
{{{0=x^3 + 2x^2}}}
Factor.
{{{0 = x^2(x+2)}}}
{{{x^2=0}}}
{{{x = 0}}}
_________
{{{ x+2 = 0 }}}
{{{x = -2}}}
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The function is defined for all x except x = 0,-2
So the interval notation is (-infinity, -2) U (-2, 0) U (0, infinity)