SOLUTION: State the domain of the following and provide a brief explanation for your answer: m(x) = (3)/(x^(2)+7)

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: State the domain of the following and provide a brief explanation for your answer: m(x) = (3)/(x^(2)+7)      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 197391: State the domain of the following and provide a brief explanation for your answer: m(x) = (3)/(x^(2)+7)
Answer by edjones(7569) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%28x%5E%282%29%2B7%29 I assume that this is the problem.
.
x^2+7=0 If this happens then there is division by zero which is not allowed.
x^2=-7
x=sqrt(7), x=-sqrt(7) Take the sqrt of each side.
The domain is all real numbers except x=sqrt(7), x=-sqrt(7)
.
Ed