SOLUTION: Please help! I don't understand this problem at all. Find the domain of the function f(x) = 3 + √(36-x^2 )/x^2- 9 Please show all work Thank you!

Algebra ->  Functions -> SOLUTION: Please help! I don't understand this problem at all. Find the domain of the function f(x) = 3 + √(36-x^2 )/x^2- 9 Please show all work Thank you!      Log On


   

Question 356096: Please help! I don't understand this problem at all.
Find the domain of the function f(x) = 3 + √(36-x^2 )/x^2- 9
Please show all work
Thank you!
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = (3 + sqrt(36-x^2 ))/(x^2- 9)
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The denominator cannot equal zero.
x^2-9=(x+3)(x-3)
(x+3)(x-3)=0
x=3, x=-3
So x cannot equal -3 or 3.
The domain of x is all real numbers except -3 and 3.
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Ed
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