document.write( "Question 823619: Find gof if f(x) =2x-1 and g(x) =x-2 \n" ); document.write( "
Algebra.Com's Answer #495719 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi, there--\r\n" );
document.write( "\r\n" );
document.write( "THE PROBLEM:\r\n" );
document.write( "Find gof if f(x) =2x-1 and g(x) =x-2\r\n" );
document.write( "\r\n" );
document.write( "SOLUTION:\r\n" );
document.write( "\r\n" );
document.write( "You want a rule for the composite function g(f(x)).\r\n" );
document.write( "\r\n" );
document.write( "g(x) = x - 2\r\n" );
document.write( "\r\n" );
document.write( "Now substitute 2x-1 for x in the function g(x).\r\n" );
document.write( "\r\n" );
document.write( "g(f(x)) = (2x-1) - 2\r\n" );
document.write( "\r\n" );
document.write( "Simplify.\r\n" );
document.write( "g(f(x)) = 2x - 3\r\n" );
document.write( "\r\n" );
document.write( "That's all there is to it! Here is a link to a nice explanation with diagrams and examples:\r\n" );
document.write( "http://www.mathsisfun.com/sets/functions-composition.html\r\n" );
document.write( "\r\n" );
document.write( "Good luck!\r\n" );
document.write( "Mrs. Figgy\r\n" );
document.write( "
\n" ); document.write( "
\n" );