document.write( "Question 1002750: Did I answer these correctly?
\n" ); document.write( "4)f(x) = 2x + 3
\n" ); document.write( "g(x)= 2x^2 + 2x
\n" ); document.write( "Find f(g(x) )
\n" ); document.write( "2(2x^2+2x)+3
\n" ); document.write( "=4x(x+1)+3
\n" ); document.write( "= 4x^2+4x+3\r
\n" ); document.write( "\n" ); document.write( "5. f(x) = 5x + 3
\n" ); document.write( "g(x) = 2x^2-2x + 2
\n" ); document.write( "Find (fg(x) )
\n" ); document.write( "(5x+3)(2x^2-2x+2)
\n" ); document.write( "2(5x+3)(x^2-x+1)
\n" ); document.write( "10x^3-4x^2+4x+6\r
\n" ); document.write( "\n" ); document.write( "6)f(x)=3x
\n" ); document.write( "g(x)= -2x^2 -2x
\n" ); document.write( "Find (f - g)(x)
\n" ); document.write( "3x-(-2x^2-2x)
\n" ); document.write( "=3x+2x^2+2x
\n" ); document.write( "=2x^2+5x
\n" ); document.write( "
\n" ); document.write( "7)f(x)=3x + 1
\n" ); document.write( "g(x)=x^2-5x -2
\n" ); document.write( "Find g(f(x) )
\n" ); document.write( "(3x+1)^2-5(3x+1)-2
\n" ); document.write( "=6x+1+9x^2-15x-5-2
\n" ); document.write( "=9x^2-9x-6
\n" ); document.write( "
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Algebra.Com's Answer #619701 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Did I answer these correctly?\r\n" );
document.write( "\r\n" );
document.write( "4) f(x) = 2x + 3\r\n" );
document.write( "   g(x)= 2x^2 + 2x \r\n" );
document.write( "   Find f(g(x) )\r\n" );
document.write( "   2(2x^2+2x)+3\r\n" );
document.write( "   =4x(x+1)+3\r\n" );
document.write( "   = 4x^2+4x+3       <<<--- correct.\r\n" );
document.write( "\r\n" );
document.write( "5) f(x) = 5x + 3\r\n" );
document.write( "   g(x) = 2x^2-2x + 2 \r\n" );
document.write( "   Find (fg(x) )\r\n" );
document.write( "   (5x+3)(2x^2-2x+2)\r\n" );
document.write( "   2(5x+3)(x^2-x+1)\r\n" );
document.write( "   10x^3-4x^2+4x+6   <<<--- correct.\r\n" );
document.write( "\r\n" );
document.write( "6) f(x)=3x\r\n" );
document.write( "   g(x)= -2x^2 -2x\r\n" );
document.write( "   Find (f - g)(x)\r\n" );
document.write( "   3x-(-2x^2-2x)\r\n" );
document.write( "   =3x+2x^2+2x\r\n" );
document.write( "   =2x^2+5x          <<<--- correct.\r\n" );
document.write( "\r\n" );
document.write( "7) f(x)=3x + 1\r\n" );
document.write( "   g(x)=x^2-5x -2\r\n" );
document.write( "   Find g(f(x) )\r\n" );
document.write( "   (3x+1)^2-5(3x+1)-2\r\n" );
document.write( "   =6x+1+9x^2-15x-5-2\r\n" );
document.write( "   =9x^2-9x-6        <<<--- correct.\r\n" );
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