SOLUTION: what is the domain of the function f(x) = square root x-3

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Question 861078: what is the domain of the function f(x) = square root x-3
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of the function is the set of values of the variable for which the function has a value.
f%28x%29=sqrt%28x-3%29 can be calculated as a real number in all cases where
x-3%3E=0<--->x%3E=3 .
If x%3C3<-->x-3%3C0 you cannot calculate the square root as a real number.
So the domain of f%28x%29=sqrt%28x-3%29 is all the real numbers that are greater than or equal to 3.
Maybe you are expected to write it as
{x | x%3E=3 } or some such thing.
Maybe the notation expected is %22%5B%223%22%2C%22infinity%22%29%22 .