document.write( "Question 861078: what is the domain of the function f(x) = square root x-3 \n" ); document.write( "

Algebra.Com's Answer #518923 by KMST(5328) $\"\"$ $\"About$

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The domain of the function is the set of values of the variable for which the function has a value.
\n" ); document.write( " $\"f%28x%29=sqrt%28x-3%29\"$ can be calculated as a real number in all cases where
\n" ); document.write( " $\"x-3%3E=0\"$ <---> $\"x%3E=3\"$ .
\n" ); document.write( "If $\"x%3C3\"$ <--> $\"x-3%3C0\"$ you cannot calculate the square root as a real number.
\n" ); document.write( "So the domain of $\"f%28x%29=sqrt%28x-3%29\"$ is all the real numbers that are greater than or equal to 3.
\n" ); document.write( "Maybe you are expected to write it as
\n" ); document.write( "{x | $\"x%3E=3\"$ } or some such thing.
\n" ); document.write( "Maybe the notation expected is $\"%22%5B%22\"$ $\"3\"$ $\"%22%2C%22\"$ $\"infinity\"$ $\"%22%29%22\"$ .
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