document.write( "Question 647171: Find f composed of g composed of h.
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Algebra.Com's Answer #406093 by Edwin McCravy(20055) $\"\"$ $\"About$

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Find f composed of g composed of h.
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document.write( "f०g०h(x) means f⟨g[h(x)]⟩\r\n" );
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document.write( "We find what's inside the ⟨ ⟩ first, which is g[h(x)]\r\n" );
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document.write( "To get g[h(x)] we take the right side of g(x), which is 5x, and substitute\r\n" );
document.write( "the right side of h(x), which is x-8 in place of x.\r\n" );
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document.write( "So we substitute x-8 into 5x, in place of x, and get 5(x-8), \r\n" );
document.write( "so now we have\r\n" );
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document.write( "     g[h(x)]⟩ = 5(x-8)\r\n" );
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document.write( "Now to get f⟨g[h(x)]⟩ we take the right side of f(x), which is x+1, and \r\n" );
document.write( "substitute the right side of g[h(x)]⟩, which is 5(x-8) in place of x.\r\n" );
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document.write( "So we substitute 5(x-8) into x+1, in place of x, and get 5(x-8)+1, \r\n" );
document.write( "so now we have\r\n" );
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document.write( "     f⟨g[h(x)]⟩ = 5(x-8)+1\r\n" );
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document.write( "and that's actually the answer, and we simplify it to 5x-40+1 = 5x-39,\r\n" );
document.write( "so we write:\r\n" );
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document.write( "    f०g०h(x) = 5x-39\r\n" );
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document.write( "Edwin

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