document.write( "Question 1167053: f(x)=x^2+1 and g(x)=x^2−1. Find (f∘f)(x), (f∘g)(x), and (g∘f)(x). \n" ); document.write( "
Algebra.Com's Answer #791629 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
f(x)=x2+1 and g(x)=x2−1. \r
\n" ); document.write( "\n" ); document.write( "Find (f∘f)(x), (f∘g)(x), and (g∘f)(x)
\n" ); document.write( "
\r\n" );
document.write( "(f∘f)(x) means to plug the right side of f(x) for x into the right side of f(x).\r\n" );
document.write( "\r\n" );
document.write( "Plugging the right side of f(x), which is (x2+1), for x into the\r\n" );
document.write( "right side of f(x) gives:\r\n" );
document.write( "\r\n" );
document.write( " (f∘f)(x) = (x2+1)2+1\r\n" );
document.write( "\r\n" );
document.write( "-----------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "(f∘g)(x) means to plug the right side of g(x) for x into the right side of\r\n" );
document.write( "f(x).\r\n" );
document.write( "\r\n" );
document.write( "Plugging the right side of g(x), which is (x2-1), for x, into the\r\n" );
document.write( "right side of f(x) gives:\r\n" );
document.write( "\r\n" );
document.write( " (f∘g)(x) = (x2-1)2+1\r\n" );
document.write( "\r\n" );
document.write( "-----------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "(g∘f)(x)  means to plug the right side of f(x) for x into the right side of g(x).\r\n" );
document.write( "\r\n" );
document.write( "Plugging the right side of f(x), which is (x2+1) for x, in the right\r\n" );
document.write( "side of g(x) gives:\r\n" );
document.write( "\r\n" );
document.write( " (g∘f)(x) = (x2+1)2-1\r\n" );
document.write( "\r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );