SOLUTION: how do you solve for the domain of f(x) = x/radical 9-x^2 ? Please provide steps.

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Question 1022220: how do you solve for the domain of f(x) = x/radical 9-x^2 ? Please provide steps.
Found 2 solutions by Boreal, macston:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the domain is restricted by where the denominator cannot be 0. The numerator may be any number.
sqrt (9-x^2) cannot be 0
That means 9-x^2 cannot equal 0.
x^2=9 will make the denominator 0
x of +/- 3 will make the denominator 0 and cannot be in the domain.
(-oo,-3),(-3,3) and (3,oo) are the domain.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is all possible x with a corresponding y.
Division by zero is not permitted, so:
.
f%28x%29=x%2Fsqrt%289-x%5E2%29
.
Domain is all real except when sqrt%289-x%5E2%29=0
.
9-x%5E2%3C%3E0
.
-x%5E2%3C%3E-9
.
x%5E2%3C%3E9
.
x%3C%3E3 and x%3C%3E-3
.
Domain is all real numbers except +/- 3.