Question 312672
The domain is all x except those that make the denominator zero since division by zero is undefined.
{{{7x+20x^2-3x^3=x(-3x^2+20x+7)}}}
{{{7x+20x^2-3x^3=-x(3x^2-20x-7)}}}
{{{7x+20x^2-3x^3=-x(3x+1)(x-7)}}}
Three solutions:
{{{x=0}}}
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{{{3x+1=0}}}
{{{3x=-1}}}
{{{x=-1/3}}}
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{{{x-7=0}}}
{{{x=7}}}
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The domain is all x except {{{x=0}}}, {{{x=-1/3}}}, and {{{ x=7 }}}
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{{{ graph( 300, 300, -2, 8, -5, 10, (2x-3)/(7x+20x^2-3x^3)) }}}