SOLUTION: What are the points of discontinuity, holes, vertical asymptotes,x-intercept, and horizontal asymptote of the problem f(x)= x^2+x-6 ________

SOLUTION: What are the points of discontinuity, holes, vertical asymptotes,x-intercept, and horizontal asymptote of the problem f(x)= x^2+x-6 _________ -4x^2-16x

Question 192442: What are the points of discontinuity, holes, vertical asymptotes,x-intercept, and horizontal asymptote of the problem
f(x)= x^2+x-6
_________
-4x^2-16x-12
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What are the points of discontinuity, holes, vertical asymptotes,x-intercept, and horizontal asymptote of the problem
f(x)= (x^2+x-6) / (-4x^2-16x-12)
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Factored Form:
f(x) = [(x+3)(x-2)] / [-4(x+3)(x+1)]
------------------------------------
Pts of discontinuity: x = -3 and x = -1
-----------------------------
holds: x = -3 because (x+3) is a factor of numerator and denominator
---------------------------------
vertical asymptote at x = -1
-----------------------------------
horizontal asymptote = x^2/-4x^2 = -1/4
-----------------------------------
x-intercept:
Let y = 0 ; solve for "x"
x = 2
=========================================
Cheers,
Stan H.
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