SOLUTION: state the domain for the function y=f(x)=(sqrtx^2-9)

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Question 115061: state the domain for the function
y=f(x)=(sqrtx^2-9)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since you cannot take the square root of a negative number, set the inner expression greater than zero

x%5E2-9%3E0

Now if you graph x%5E2-9


+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-9%29+

we can see that the graph is greater than zero when x%3C-3 or x%3E3


So the domain of f%28x%29=sqrt%28x%5E2-9%29 is