document.write( "Question 780142: Given the functions
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document.write( "f(x)=1/x+6 ; g(x)=x/2-x\r
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document.write( "a.(f ∘ g)(-2)
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document.write( "b.(g ∘ f)(-2)
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document.write( "c.(f ∘ g)(x)
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document.write( "d.(g ∘ f)(x)
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document.write( "e.(g ∘ g)(x)
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document.write( "f.(g ∘ g)(-2/3)
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document.write( "g.(f+g)(x)
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document.write( "h.(f-g)(x)
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document.write( "i.(f/g)(x)\r
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Algebra.Com's Answer #475479 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Given the functions \n" ); document.write( "f(x)=1/(x+6) ; g(x)=x/(2-x) \n" ); document.write( "a.(f ∘ g)(-2) = f[g(-2)] = f[1/2] = 2/13 \n" ); document.write( "---------------------------------- \n" ); document.write( "b.(g ∘ f)(-2) = g[f(-2)] = g[1/4] = 7/4 \n" ); document.write( "---------------------------------- \n" ); document.write( "c.(f ∘ g)(x) = f[g(x)] = f[x/(2-x)] = 1/[x/(2-x) + 6] = x/(x+12-6x) = x/(12-5x) \n" ); document.write( "---------------------------------- \n" ); document.write( "etc... \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( "d.(g ∘ f)(x) \n" ); document.write( "e.(g ∘ g)(x) \n" ); document.write( "f.(g ∘ g)(-2/3) \n" ); document.write( " \n" ); document.write( " |