document.write( "Question 1194424: 4. Is f(x) - g(x) = g(x) - f(x) true for all functions? Justify your answer.
\n" ); document.write( "**Writing one example will not justify your answer for ALL functions.
\n" ); document.write( "Which operation property can we use to prove this is true? **
\n" ); document.write( "(2 marks) 5. Is (f + g)(x) = (g + f )(x) true for all functions? Justify your answer.
\n" ); document.write( "**Writing one example will not justify your answer for ALL functions.
\n" ); document.write( "Which operation property can we use to prove this is true? **
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Algebra.Com's Answer #826623 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "4. Is f(x) - g(x) = g(x) - f(x) true for all functions? Justify your answer.
\n" ); document.write( "**Writing one example will not justify your answer for ALL functions.
\n" ); document.write( "Which operation property can we use to prove this is true? **
\n" ); document.write( "(2 marks) 5. Is (f + g)(x) = (g + f )(x) true for all functions? Justify your answer.
\n" ); document.write( "**Writing one example will not justify your answer for ALL functions.
\n" ); document.write( "Which operation property can we use to prove this is true? **
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\n" ); document.write( "\n" ); document.write( "            Of two problems in the post,  I will consider and solve here
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document.write( "The question is \"Is identity f(x) - g(x) = g(x) - f(x) true for all functions?\".\r\n" );
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document.write( "The answer is \"The identity f(x) - g(x) = g(x) - f(x) is not true for all functions.\"\r\n" );
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document.write( "    |    To prove that the answer is correct and disprove the original statement,    |\r\n" );
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document.write( "    |            it is enough to present one single counter-example                  |\r\n" );
document.write( "    |                  disproving the original statement.                            |\r\n" );
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document.write( "This disproving counter-example is  f(x) = 1, g(x) = 0,  two constant-value functions,\r\n" );
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document.write( "which produce self-contradictory identity  1 = -1  in real numbers.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The problem is solved,
\n" ); document.write( "        the answer is given,
\n" ); document.write( "                and the original statement is disproved by presenting one contradicting example.\r
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\n" ); document.write( "\n" ); document.write( "The instruction,  written in the post between the signs  (**)  and  (**),  that follows the problem, \r
\n" ); document.write( "\n" ); document.write( "is non-sensical gibberish,  contradicting standard logic.\r
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\n" ); document.write( "\n" ); document.write( "As a post-solution notice and an advise for the future:\r
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\n" ); document.write( "\n" ); document.write( "             - never pack more than one problem per post.\r
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