SOLUTION: find the domain of the following functions by determining which numbers, if any, cannot be used: 1) f(x)=3x^2/(1+3x) 2) f(x)=(x^2+x-2)(x^2+4) Thank you.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the domain of the following functions by determining which numbers, if any, cannot be used: 1) f(x)=3x^2/(1+3x) 2) f(x)=(x^2+x-2)(x^2+4) Thank you.      Log On


   

Question 36676: find the domain of the following functions by determining which numbers, if any, cannot be used:
1) f(x)=3x^2/(1+3x)
2) f(x)=(x^2+x-2)(x^2+4)
Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the domain of the following functions by determining which numbers, if any, cannot be used:
1) f(x)=3x^2/(1+3x)
The denominator cannot be zero.
So x cannot be -1/3. The domain is all Real numbers except x=-1/3

2) f(x)=(x^2+x-2)(x^2+4)
This denominator is never zero
So, domain is all Real Numbers.
Cheers,
Stan H.