document.write( "Question 297158: If f( x) = x^2 + 1 and g(x) = x-2 find [f degree g](x) \n" ); document.write( "
Algebra.Com's Answer #213998 by nyc_function(2741)\"\" \"About 
You can put this solution on YOUR website!
We need to find f(g(x)). There is no degree in the center. It is a tiny circle and it's read: \"f of g compose x.\" The word compose is represented by the tiny circle here.\r
\n" ); document.write( "\n" ); document.write( "f(x) = x^2 + 1 and g(x) = x - 2\r
\n" ); document.write( "\n" ); document.write( "What does g(x) equal? \r
\n" ); document.write( "\n" ); document.write( "It equals x - 2, right?\r
\n" ); document.write( "\n" ); document.write( "Well, replace x in the other function (your f(x)) with x - 2 and simplify.\r
\n" ); document.write( "\n" ); document.write( "f(x - 2) = (x - 2)^2 + 1\r
\n" ); document.write( "\n" ); document.write( "Keep in mind that f(x - 2) means the same thing as f(g(x)).\r
\n" ); document.write( "\n" ); document.write( "Are you with me so far?\r
\n" ); document.write( "\n" ); document.write( "f(x - 2) = (x - 2)(x - 2) + 1\r
\n" ); document.write( "\n" ); document.write( "f(x - 2) = x^2 - 4x + 4 + 1\r
\n" ); document.write( "\n" ); document.write( "f(x - 2) = x^2 -4x + 5\r
\n" ); document.write( "\n" ); document.write( "So, f(g(x)) = x^2 - 4x + 5\r
\n" ); document.write( "\n" ); document.write( "Understand?\r
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