Question 1029261
Find the domain, points of discontinuity, x-y- intercepts of each rational function. Determine whether the discontinuities are removable or non-removable." Can you please help me with one so I get an idea of what to do?
Number 1 
y= x+5/x^2+9x+20 = (x+5)/[(x+4)(x+5)]
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Domain:: All Real Numbers except x = -4 and x = -5
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Note: Since (x+5) is in numerator and denominator, there is a "hole" at x = -5
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x = -5 is a removable discontinuity.
x = 4 is not removable: there is a vertical asymptote at x = -4
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x- intercept ?
Let y = 0 and solve for "x"
No solution, so no x-intercept.
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y- intercept ?
Let x = 0, then y = 5/20 = 1/4
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Graph::
{{{graph(400,400,-10,10,-10,10,(x+5)/(x^2+9x+20))}}}
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Cheers,
Stan H.