document.write( "Question 313110: Is it possible for x = 3 to be in the domains of the functions\r
\n" ); document.write( "\n" ); document.write( "a)\r
\n" ); document.write( "\n" ); document.write( "q(x) = 2x squared / x-3\r
\n" ); document.write( "\n" ); document.write( "b)\r
\n" ); document.write( "\n" ); document.write( "T(x) = the square root of 2-x\r
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\n" ); document.write( "\n" ); document.write( "Explain why or why not for each of the above functions? What are the domains of q(x)and T(x) ?
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Algebra.Com's Answer #223882 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Is it possible for x = 3 to be in the domains of the functions
\n" ); document.write( "a) q(x) = 2x squared / (x-3)
\n" ); document.write( "Ans: No. If x=3 the denominator would be zero and the fraction
\n" ); document.write( "would be \"undefined\".
\n" ); document.write( "Domain: All Real Numbers except x = 3.
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\n" ); document.write( "b) T(x) = the square root of (2-x)
\n" ); document.write( "Ans: No. If x=3 the radicand is a negative number and the
\n" ); document.write( "sqrt of a negative is not a Real Number.
\n" ); document.write( "Domain: 2-x must not be negative.
\n" ); document.write( "So, 2-x >= 0
\n" ); document.write( "x <= 2
\n" ); document.write( "All Real Numbers x where x <= 2.\r
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\n" ); document.write( "Explain why or why not for each of the above functions? What are the domains of q(x)and T(x) ?
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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