document.write( "Question 348860: please help im studying for my test and I cant do this problem I need to find the domain: f(x)= $\"sqrt%282x%2B12%29%2F%28x%5E2-9x%2B14%29\"$ \n" ); document.write( "

Algebra.Com's Answer #249396 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
find the domain: f(x)= sqrt(2x+12)/(x^2-9x+14)
\n" ); document.write( "-----
\n" ); document.write( "Two things to consides:
\n" ); document.write( "1st: 2x+12 must not be negative
\n" ); document.write( "2x+12 >= 0
\n" ); document.write( "x >= -6
\n" ); document.write( "---------------------
\n" ); document.write( "2nd: x^2 - 9x + 14 must not be zero
\n" ); document.write( "Solve x^2-9x+14 = 0
\n" ); document.write( "(x-7)(x-2) = 0
\n" ); document.write( "x cannot be 2 and cannot be 7
\n" ); document.write( "------
\n" ); document.write( "Domain: All Real Numbers >=-6 excluding
\n" ); document.write( "x = 2 and x = 7.
\n" ); document.write( "========================================
\n" ); document.write( "Domain: [-6,2)U(2,7)U(7,+oo)]
\n" ); document.write( "========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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