document.write( "Question 431456: How do you find the domain of f(x)= x+3/squre root of 2x-7? \n" ); document.write( "

Algebra.Com's Answer #299417 by htmentor(1343) $\"\"$ $\"About$

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The domain is the set of all possible values of f(x).
\n" ); document.write( "The function $\"f%28x%29+=+%28x%2B3%29%2Fsqrt%282x-7%29\"$ will be undefined if the denominator equals zero.
\n" ); document.write( "This occurs at x = 7/2. The function is defined for all other values of x.
\n" ); document.write( "Therefore, the domain is ( $\"-infinity\"$ ,7/2) U (7/2, $\"infinity\"$ )
\n" ); document.write( "where the open bracket means not including the endpoint and U means the union of these two intervals.
\n" ); document.write( "The graph is shown below:
\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-40%2C40%2C%28x%2B3%29%2Fsqrt%282x-7%29%29\"$ \n" ); document.write( "

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