document.write( "Question 1205651: Create two functions h(x) and j(x) so that the composed function (h x j)(x) does not exist. Explain your answer. \n" ); document.write( "

Algebra.Com's Answer #842587 by ikleyn(52943) $\"\"$ $\"About$

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\n" ); document.write( "Create two functions h(x) and j(x) so that the composed function (h o j)(x) does not exist. Explain your answer.
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\n" ); document.write( "\n" ); document.write( "        I edited your post replacing your \" (h x j)(x) \" by \" (h o j)(x) \",
\n" ); document.write( "        which is the standard designation for the composition of functions j and h.\r
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\n" ); document.write( "\n" ); document.write( "        From your posts, I see that you don't know this standard designation.\r
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document.write( "Take j(x) = -|x|-1,  h(x) = .\r\n" );
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document.write( "Then  the composition is\r\n" );
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document.write( "    (h o j)(x) = ,\r\n" );
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document.write( "and this function does not exist.\r\n" );
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document.write( "It does not exist, because its domain is the empty set: \r\n" );
document.write( "for all real x, the expression under the square root function is negative.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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