SOLUTION: f(x)=x^2+5/x^2+x-12 Can you please help me identify the domain of f and figure out the answer in set builder notiation?

Algebra ->  Inequalities -> SOLUTION: f(x)=x^2+5/x^2+x-12 Can you please help me identify the domain of f and figure out the answer in set builder notiation?      Log On


   

Question 363165: f(x)=x^2+5/x^2+x-12 Can you please help me identify the domain of f and figure out the answer in set builder notiation?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
THe only restrictions are when the denominator equals zero.
x%5E2%2Bx-12=0
%28x%2B4%29%28x-3%29=0
Two solutions:
x%2B4=0
highlight%28x=-4%29
.
.
.
x-3=0
highlight%28x=3%29
.
.
.
Domain:(infinity,-4)U(-4,3)U(3,infinity)