document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128457>Question 1128457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function h = {(-3,4),(-2,2),(-1,0),(0,1),(1,3),(2,4),(3,-1} and function k={(-3,-2),(-2,0),(-1,-4),(0,0),(1,-3),(2,1),(3,2)}. \r<BR>\n" );
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document.write( "Compute the following expression if it exists: (h/k)(-2)\r<BR>\n" );
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document.write( "What in the world is going on here! </SPAN>\n" );
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document.write( "The notation means the only thing it could possibly mean: (h/k)(x) = h(x)/k(x).  So<br><BR>\n" );
document.write( "(h/k)(-2) = h(-2)/k(-2) = 2/0<br><BR>\n" );
document.write( "Since division by 0 is not allowed, the answer is that (h/k)(-2) does NOT exist.<br><BR>\n" );
document.write( "As further examples, note that (h/k)(0) would also not exist, because k(0)=0 and again division by 0 is not allowed.<br><BR>\n" );
document.write( "But (h/k) exists for all the other possible input values; for example, (h/k)(-3) = h(-3)/k(-3) = 4/-2 = -2. </SPAN>\n" );
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