document.write( "Question 386595: What is the difference between (fg)(x) and (f ◦ g)(x)? \n" ); document.write( "

Algebra.Com's Answer #273295 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think one is a composition $\"f%28g%28x%29%29\"$ where you substitute $\"g%28x%29\"$ for $\"x\"$ .
\n" ); document.write( "The other is an actual multiplication of two functions.
\n" ); document.write( " $\"fg%28x%29=f%28x%29%2Ag%28x%29\"$
\n" ); document.write( "So if $\"f%28x%29=x%2B1\"$ and $\"g%28x%29=x\"$
\n" ); document.write( "Then $\"f%28g%28x%29%29=g%28x%29%2B1\"$
\n" ); document.write( " $\"f%28g%28x%29%29=x%2B1\"$
\n" ); document.write( "and $\"fg%28x%29=%28x%2B1%29x\"$
\n" ); document.write( " $\"fg%28x%29=x%5E2%2Bx\"$ \n" ); document.write( "

\n" );