SOLUTION: Give the domain of the function using interval notation.: y=2/(√(9-x^2)).

Algebra ->  Functions -> SOLUTION: Give the domain of the function using interval notation.: y=2/(√(9-x^2)).       Log On


   

Question 910378: Give the domain of the function using interval notation.: y=2/(√(9-x^2)).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

denominator cannot be equal to zero and it will be if 9-x%5E2=0; so, find vales of x that make it equal to zero:
9-x%5E2=0 => 9=x%5E2 => sqrt%289%29=x => x=3 or x=-3; exclude these values and
domain is:
{ x element R : -3%3Cx%3C3 }
or
{ x element R : -3%3C%3Ex or x%3C%3E3 }