document.write( "Question 367753: Composition of Functions problem:\r
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document.write( "r(t)=q(p(t))
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document.write( "Given:\r
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document.write( "t | p(t) | q(t) | r(t)
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document.write( "0 | 4 | ?? | ??
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document.write( "1 | ?? | 2 | 1
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document.write( "2 | ?? | ?? | 0
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document.write( "3 | 2 | 0 | 4
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document.write( "4 | 1 | 5 | ??
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document.write( "5 | 0 | 1 | 3
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document.write( "Fill in ?? with correct answer. I need help with a process to solve this problem.\r
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document.write( "I can solve r(0)=?? by this method: r(0)=q(p(0)) knowing that r(0) will be equal to q(p(0)), then r(0)=q(4) because I find that p(0) is equal to 4 which becomes q(4), next I see that q(4) is equal to 5, therefore r(0)=5.\r
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document.write( "I am having difficulty with a process to find for p(t) and q(t).\r
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document.write( "Any ideas?\r
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document.write( "Thanks,
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document.write( "Deb \n" );
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Algebra.Com's Answer #262135 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Composition of Functions problem: \n" ); document.write( "r(t)=q(p(t)) \n" ); document.write( "Given: \n" ); document.write( "t | p(t) | q(t) | r(t) \n" ); document.write( "----------------------------- \n" ); document.write( "0 | 4 | ?? | ??...........r(0)= q(p(0))=q(4)= 5 \n" ); document.write( "..........................q(0) =q[p(5)] = r(5) = 3\r \n" ); document.write( "\n" ); document.write( "----------------------------- \n" ); document.write( "1 | ?? | 2 | 1..........................p(1) = q^-1(r(1))= q^-1(1) = 5 \n" ); document.write( "----------------------------- \n" ); document.write( "2 | ?? | ?? | 0...........p(2) = q^-1(r(2)) = q^-1(0)= 3 \n" ); document.write( "..........................q(2) = p^-1(r(2)) = p^-1(0) = 5 \n" ); document.write( "----------------------------- \n" ); document.write( "3 | 2 | 0 | 4 \n" ); document.write( "----------------------------- \n" ); document.write( "4 | 1 | 5 | ??................r(4) = q(p(4)) = q(1)=2 \n" ); document.write( "----------------------------- \n" ); document.write( "5 | 0 | 1 | 3 \n" ); document.write( "----------------------------- \n" ); document.write( "Fill in ?? with correct answer. I need help with a process to solve this problem. \n" ); document.write( "I can solve r(0)=?? by this method: r(0)=q(p(0)) knowing that r(0) will be equal to q(p(0)), then r(0)=q(4) because I find that p(0) is equal to 4 which becomes q(4), next I see that q(4) is equal to 5, therefore r(0)=5. \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |