document.write( "Question 810537: if f(x)=3x^2-2x-1 and g(x)=x^2 find (g*f)(x)\r
\n" );
document.write( "\n" );
document.write( "a. 9x^4 - 12x^3 - 2x^2 + 4x + 1\r
\n" );
document.write( "\n" );
document.write( "b. 9x^4 - 12x^3 - 8x^2 + 4x + 1\r
\n" );
document.write( "\n" );
document.write( "c. 9x^4 - 6x^3 - 6x^2 + 2x + 1\r
\n" );
document.write( "\n" );
document.write( "d. 9x^4 - 6x^2 + 1 \n" );
document.write( "
Algebra.Com's Answer #488222 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! if f(x)=3x^2-2x-1 and g(x)=x^2 find (gof)(x) \n" ); document.write( "------- \n" ); document.write( "Note:: You used the wrong symbol for composition. \n" ); document.write( "* is for multiplication ; o is for composition. \n" ); document.write( "----------------------- \n" ); document.write( "gof(x) = g[f(x)] = g[3x^2-2x-1] = (3x^2-2x-1)^2 \n" ); document.write( "==== \n" ); document.write( "= 9x^4-6x^3-3x^2-6x^3+4x^2+2x-3x^2+2x+1 \n" ); document.write( "----- \n" ); document.write( "= 9x^4 -12x^3 -2x^2 + 4x +1\r \n" ); document.write( "\n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===================== \n" ); document.write( " \n" ); document.write( "a. 9x^4 - 12x^3 - 2x^2 + 4x + 1 \n" ); document.write( "b. 9x^4 - 12x^3 - 8x^2 + 4x + 1 \n" ); document.write( "c. 9x^4 - 6x^3 - 6x^2 + 2x + 1 \n" ); document.write( "d. 9x^4 - 6x^2 + 1 \n" ); document.write( " \n" ); document.write( " |