SOLUTION: Find the domain of the rational function. g(x)= x+5/x^2+49x I have done the question multiple times and have gotten a different answer each time. guess I am not doing somethi

Algebra ->  Equations -> SOLUTION: Find the domain of the rational function. g(x)= x+5/x^2+49x I have done the question multiple times and have gotten a different answer each time. guess I am not doing somethi      Log On


   

Question 893024: Find the domain of the rational function.
g(x)= x+5/x^2+49x
I have done the question multiple times and have gotten a different answer each time. guess I am not doing something right, any info is helpful.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
That should really be g%28x%29=+%28x%2B5%29%2F%28x%5E2%2B49x%29.

The domain of g(x) is the set of values which are acceptable for x.
The numerator presents no restrictions. Look next at the denominator.

x%5E2%2B49x=x%28x%2B49%29. This must not be allowed to be zero because a denominator can never be zero.
This expression, the denominator, will be zero for x=0 or for x=-49. The domain then is the real
numbers such that highlight%28x%3C%3E0%29 AND highlight%28x%3C%3E-49%29.

DOMAIN: -infinity%3Cx%3C-49 U -49%3Cx%3C0 U 0%3Cx%3Cinfinity