SOLUTION: I need to find the domain of g(x)=(2)/(x^2+x-12)

Algebra ->  Functions -> SOLUTION: I need to find the domain of g(x)=(2)/(x^2+x-12)       Log On


   

Question 574700: I need to find the domain of g(x)=(2)/(x^2+x-12)
Found 2 solutions by reviewermath, solver91311:
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Values of x that make the denominator zero are not included in the domain.
Solver for
x%5E2%2Bx-12=0
%28x%2B4%29%28x-3%29=0
x=-4,3
Answer: All real numbers except -4 and 3
In set interval notation: (-infinity,-4)U(-4,3)U(3,infinity)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Set the denominator polynomial equal to zero. Solve the quadratic equation which is guaranteed to have two real solutions because the discriminant is greater than zero. The domain of the original function is all real numbers except the two solutions to the quadratic.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism