document.write( "Question 1099428: Find f∘g if f = {(1,2), (3,4), (5,4)} and g = {(2,5), (4,3)}.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "f∘g = {(2, 4), (3, 4)}\r
\n" ); document.write( "\n" ); document.write( "f∘g = {(2, 5), (4, 3)}\r
\n" ); document.write( "\n" ); document.write( "f∘g = {(2, 5), (4, 3), (5, 2)}\r
\n" ); document.write( "\n" ); document.write( "f∘g = {(2, 4), (4, 4)} \n" ); document.write( "
Algebra.Com's Answer #713857 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Find f∘g if f = {(1,2), (3,4), (5,4)} and g = {(2,5), (4,3)}.
\n" ); document.write( "
\r\n" );
document.write( "f∘g(x) = f(g(x)), so the domain of f∘g can only contain \r\n" );
document.write( "elements which are elements of the domain of g, which is \r\n" );
document.write( "{ 2,4 }.  \r\n" );
document.write( "\r\n" );
document.write( "g(2) = 5, so f∘g(2) = f(g(2)) = f(5) = 4, so (2,4) ∈ f∘g \r\n" );
document.write( "\r\n" );
document.write( "g(4) = 3, so f∘g(4) = f(g(4)) = f(3) = 4, so (4,4) ∈ f∘g \r\n" );
document.write( "\r\n" );
document.write( "Therefore f∘g = { (2,4), (4,4) }\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );