SOLUTION: Find the domain of the function g(x)= "the square root of" 4-y "squared"

Algebra ->  Functions -> SOLUTION: Find the domain of the function g(x)= "the square root of" 4-y "squared"      Log On


   

Question 86852: Find the domain of the function
g(x)= "the square root of" 4-y "squared"
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

Find the domain of the function
g(x)= "the square root of" 4-y "squared"

Answer:
Given function is,
g(x) = +sqrt%28+4-y%5E2%29

In the given function for the variable x, if you give values other than -2, -1, 0, 1, 2 you will get a negative value inside the radical.


As you know that square root of a negative number does not exist.


So here the only possible values that we can take for x is -2, -1, 0, 1, 2

So the domain is [-2, 2], that is closed interval [-2, 2]


Hope you found the explanation useful


Regards.


Praseena.