What values of x make the function f(x) = sin(sqrt(x)) defined?

[transgalactic]

i need to find for what values X is defined in the given function

i found for the sin part and for the the square root but i don't know how to combine them
into a final answer:
http://img168.imageshack.us/img168/1434/39293849jq8.gif

 

[Hootenanny]

i need to find for what values X is defined in the given function

i found for the sin part and for the the square root but i don't know how to combine them
into a final answer:
http://img168.imageshack.us/img168/1434/39293849jq8.gif

I'm afraid that I do not agree with your interval for t.

 

[HallsofIvy]

Among other things you have written
$$\pi+ 2k\pi\le t\le 0+ 2k\pi$$
which implies that $\pi$ is negative!

sin(t) is defined for ALL t. $sin(\sqrt{x})$ is defined as long as $\sqrt{x}$ is.