document.write( "Question 54175: Akay How do I set this up when :\r
\n" ); document.write( "\n" ); document.write( "p(x) = x^2 -x-5 and r(x) = 2x-1, evaluate (r o p)(6)\r
\n" ); document.write( "\n" ); document.write( "The o in the (rop) is a small funny oval shape symbol that I don't understand what it means? Thanks for any help.
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Algebra.Com's Answer #36456 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
rop(x) means r composite p of x. It means that you put the p function everywhere there's an x in the r function.
\n" ); document.write( "\"p%28x%29=x%5E2-x-5\"
\n" ); document.write( "\"r%28x%29=2x-1\"
\n" ); document.write( "\"rop%28x%29=r%28x%5E2-x-5%29\"
\n" ); document.write( "\"r%28x%5E2-x-5%29=2%28x%5E2-x-5%29-1\"
\n" ); document.write( "\"r%28x%5E2-x-5%29=2x%5E2-2x-10-1\"
\n" ); document.write( "\"r%28x%5E2-x-5%29=2x%5E2-2x-11\"
\n" ); document.write( "\"rop%28x%29=2x%5E2-2x-11\"
\n" ); document.write( "Because you need to find rop(6) substitute 6 in for the x in the composite function.
\n" ); document.write( "\"rop%286%29=2%286%29%5E2-2%286%29-11\"
\n" ); document.write( "\"rop%286%29=2%2836%29-2%286%29-11\"
\n" ); document.write( "\"rop%286%29=72-12-11\"
\n" ); document.write( "\"highlight%28rop%286%29=49%29\"
\n" ); document.write( "-------------------------------------------------------------------------
\n" ); document.write( "Another way to do it is to find p(6) and then substitute that answer into r(x).
\n" ); document.write( "\"p%286%29=%286%29%5E2-6-5\"
\n" ); document.write( "\"p%286%29=36-6-5\"
\n" ); document.write( "\"p%286%29=25\"
\n" ); document.write( "\"r%2825%29=2%2825%29-1\"
\n" ); document.write( "\"r%2825%29=50-1\"
\n" ); document.write( "\"r%2825%29=49\"
\n" ); document.write( "Therefore \"highlight%28rop%286%29=49%29\"
\n" ); document.write( "Happy Calculating!!!
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