SOLUTION: Find the vertical, horizontal, and oblique asymptotes, if any for the given rational function
{{{ R(x)=15x^2+13x-20 }}} /3x+5
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-> SOLUTION: Find the vertical, horizontal, and oblique asymptotes, if any for the given rational function
{{{ R(x)=15x^2+13x-20 }}} /3x+5
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You can put this solution on YOUR website! Find the vertical, horizontal, and oblique asymptotes, if any for the given rational function /3x+5
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15x^2+13x-20/3x+5
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Vertical asymptote:
set denominator=0, then solve for x
3x+5=0
3x=-5
x=-5/3
..
Divide by long division:
............5x-4.......
..3x+5|15x^2+13x-20
.......15x^2+25x...
............-12x-20
............-12x-20
.................0
Function is a straight line: y=5x-4
Asymptotes: none
Function is undefined at x=-5/3 ("hole")
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