document.write( "Question 1015997: If f(x) =2x-5 and g(x)=2, find
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Algebra.Com's Answer #632386 by ikleyn(52777) $\"\"$ $\"About$

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\n" ); document.write( "If f(x) =2x-5 and g(x)=2, find
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\n" ); document.write( "d) fg(2)
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document.write( "a) Please do it yourself. Simply substitute x = 1 into f(x).\r\n" );
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document.write( "b) Please do it yourself. Simply substitute x = 2 into g(x).\r\n" );
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document.write( "c) The symbol gf indicates here the composition function (gof)(x).\r\n" );
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document.write( "   It is  gf(x) = (gof)(x) = g(f(x)) == 2  due to the definition of g.\r\n" );
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document.write( "   So,  gf(1) = 2. \r\n" );
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document.write( "d) The symbol fg indicates here the composition function (fog)(x).\r\n" );
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document.write( "   It is  fg(x) = (fog)(x) = f(g(x)) = f(2) = 2*2 - 5 = 4 - 1 = -1, the constant value (does not depend on x).\r\n" );
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document.write( "   So,  fg(1) = -1.\r\n" );
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