document.write( "Question 151795: f(x)=3x^2-2x+4 ; find f(x+h)-f(x) \n" ); document.write( "
Algebra.Com's Answer #112044 by orca(409)\"\" \"About 
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If f(x)=3x^2-2x+4, then
\n" ); document.write( "f(x + h)
\n" ); document.write( "= 3(x + h)^2 -2(x + h) + 4
\n" ); document.write( "=3(x^2 + 2hx + h^2) - 2(x + h) +4
\n" ); document.write( "= 3x^2 + 6hx + 3h^2 - 2x -2h + 4
\n" ); document.write( "So
\n" ); document.write( "f(x+h)-f(x)
\n" ); document.write( "= 3x^2 + 6hx + 3h^2 - 2x -2h + 4 - (3x^2 - 2x + 4)
\n" ); document.write( "= 3x^2 + 6hx + 3h^2 - 2x -2h + 4 - 3x^2 + 2x - 4
\n" ); document.write( "= 6hx + 3h^2 - 2h
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