SOLUTION: f(x)=(x+4)/(X^2+x-6) find out the graph, vertical asymptotes horizontal asymptote Domain

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: f(x)=(x+4)/(X^2+x-6) find out the graph, vertical asymptotes horizontal asymptote Domain      Log On


   

Question 541212: f(x)=(x+4)/(X^2+x-6)
find out the
graph,
vertical asymptotes
horizontal asymptote
Domain
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=(x+4)/(X^2+x-6)
find out the
graph
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%2B4%29%2F%28x%5E2%2Bx-6%29%29
--------------------
vertical asymptotes
Solve x^2+x-6 = 0
(x+3)(x-2) = 0
x = -3 ; x = 2
Those are the vertical asymptotes
-------------------------------------
horizontal asymptote
y = 0x^2/1x^2 = 0/1 = 0
That is the horizontal asymptote
----------------------------------
Domain:
All Real Numbers except x = 2 and x = -3
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Cheers,
Stan H.
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