SOLUTION: Simplify. identify the restrictions on the domain. 6x^2+x-12 ___________ ___ 3x^2+14x-24

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Question 881407: Simplify. identify the restrictions on the domain.
6x^2+x-12
_______________
3x^2+14x-24


Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify. identify the restrictions on the domain.
6x^2+x-12
_______________
3x^2+14x-24
***
%286x%5E2%2Bx-12%29%2F%283x%5E2%2B14x-24%29
%283x-4%29%282x%2B3%29%2F%28%283x-4%29%28x%2B6%29%29
(3x-4) cancels out, leaving a "hole" in the curve at x=4/3
%282x%2B3%29%2F%28x%2B6%29
set denominator=0
x+6=0
x=-6
at x=-6, denominator=0. Given expression is undefined so it is a restriction.
at x=4/3, given expression is not defined