document.write( "Question 888226: For the given functions f and g , find the indicated composition.
\n" ); document.write( "f(x) = -5x + 6, g(x) = 2x + 5
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Algebra.Com's Answer #537199 by jim_thompson5910(35256) $\"\"$ $\"About$

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For the given functions f and g , find the indicated composition.
\n" ); document.write( "f(x) = -5x + 6, g(x) = 2x + 5
\n" ); document.write( "(gf)(x)
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\n" ); document.write( "\n" ); document.write( "Assuming you mean (g o f)(x)\r
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\n" ); document.write( "\n" ); document.write( "(g o f)(x) is the same as g(f(x))\r
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\n" ); document.write( "\n" ); document.write( "The idea is to plug f(x) into x of g(x). Then on the right side, plug in f(x) = -5x+6. Finally you simplify.\r
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\n" ); document.write( "\n" ); document.write( "Here's the work showing what I mean.\r
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document.write( "	g(x) = 2x + 5\r\n" );
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document.write( "	g(x) = 2(x) + 5\r\n" );
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document.write( "	g(f(x)) = 2(f(x)) + 5\r\n" );
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document.write( "	g(f(x)) = 2(-5x+6) + 5\r\n" );
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document.write( "	g(f(x)) = -10x+12+5\r\n" );
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document.write( "	g(f(x)) = -10x+17\r\n" );
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document.write( "	(g o f)(x) = -10x+17\r\n" );
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\n" ); document.write( "\n" ); document.write( "The final answer is (g o f)(x) = -10x+17 \n" ); document.write( "

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