document.write( "Question 332562: My little sister is getting ready to take the compass test and I am trying to help her with the math part but it has been like 5 years since i have taken any algebra! here is the question if you could help that would be great!\r
\n" ); document.write( "\n" ); document.write( "if \"+f%28x%29=3x-2+and+g%28x%29=x%5E2-4x%2B1+\" find: \"+%28f%2Bg%29%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "thank you so much any help would be great!
\n" ); document.write( "

Algebra.Com's Answer #238306 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\"+f%28x%29=3x-2\" and \"g%28x%29=x%5E2-4x%2B1+\" find: \"+%28f%2Bg%29%28x%29\"\r\n" );
document.write( "\r\n" );
document.write( "(f+g)(x) \r\n" );
document.write( "\r\n" );
document.write( "That just means to add together everything written after \"f(x)=\" and\r\n" );
document.write( "everything written after \"g(x)\".\r\n" );
document.write( "\r\n" );
document.write( "In other words it means the green stuff below PLUS the red stuff below:\r\n" );
document.write( "\r\n" );
document.write( "\"f%28x%29=green%283x-2%29\" \"g%28x%29=red%28x%5E2-4x%2B1%29+\"\r\n" );
document.write( "\r\n" );
document.write( "So put a plus sign between the red and the green stuff:\r\n" );
document.write( "\r\n" );
document.write( "\"%28f%2Bg%29%28x%29=green%283x-2%29+%2B+red%28x%5E2-4x%2B1%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Now you have to simplify.  I'll recolor the terms:\r\n" );
document.write( "\r\n" );
document.write( "\"%28f%2Bg%29%28x%29=red%283x%29-green%282%29+%2B+x%5E2-red%284x%29%2Bgreen%281%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Now \r\n" );
document.write( "\r\n" );
document.write( "1. Write down the \"x%5E2\" because that's the only\r\n" );
document.write( "term that has \"x%5E2\", and also because it has the largest exponent\r\n" );
document.write( "\r\n" );
document.write( "2. After that combine the red things \"red%283x%29-red%284x%29\". That gives\r\n" );
document.write( "\"%28-1x%29\" and you can just write that \"-x\".\r\n" );
document.write( "\r\n" );
document.write( "3. Finally combine the green things \"-green%282%29%2Bgreen%281%29+\", getting -1 and you end up with:\r\n" );
document.write( "\r\n" );
document.write( "\"%28f%2Bg%29%28x%29=x%5E2-red%28x%29-green%281%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Didn't take a rocket scientist, did it.  Bet you remember that much\r\n" );
document.write( "from algebra five years ago.  :-)\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );