Determine the domain of the function. f(x)=(x-5)/(^4√x^2-9). I need it in interval notation. I got (-∞,-3)(3,∞) but I'm not sure it's right.

Question

Determine the domain of the function. f(x)=(x-5)/(^4√x^2-9). I need it in interval notation. I got   (-∞,-3)(3,∞) but I'm not sure it's right.

anonymous · Answer

$$f(x)=\frac{ x-5 }{ \sqrt[4]{x ^{2}-9} }$$

abb0t · Answer

Your domain is all numbers which make your function undefined. And anything divided by zero would make that true. So yes, $\pm 3$ would be your domain from $-\infty ~ to~ \infty$

anonymous · Answer

Thank you very much!:)

preetha · Answer

Dont forget to give a medal!

anonymous · Answer

Just a minor correction, @abb0t, the domain is all numbers that make the function *not* undefined.