document.write( "Question 972375: Find and simplify the difference quotient of (f(x+h) - f(x)) /h where f(x)=x^2+2x+3 and h can't = 0 \n" ); document.write( "

Algebra.Com's Answer #594721 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find and simplify the difference quotient of (f(x+h) - f(x)) /h where f(x)=x^2+2x+3 and h can't = 0
\n" ); document.write( ".
\n" ); document.write( "f(x)=x^2+2x+3
\n" ); document.write( ".
\n" ); document.write( "f(x+h)=(x+h)^2+2(x+h)+3
\n" ); document.write( "f(x+h)=(x+h)(x+h)+2(x+h)+3
\n" ); document.write( "f(x+h)=x^2+2hx+h^2+2x+2h+3
\n" ); document.write( ".
\n" ); document.write( "substitute the above into:
\n" ); document.write( "(f(x+h) - f(x)) /h
\n" ); document.write( "(x^2+2hx+h^2+2x+2h+3 - (x^2+2x+3)) /h
\n" ); document.write( "(x^2+2hx+h^2+2x+2h+3 -x^2-2x-3) /h
\n" ); document.write( "(2hx+h^2+2x+2h+3-2x-3) /h
\n" ); document.write( "(2hx+h^2+2h+3-3) /h
\n" ); document.write( "(2hx+h^2+2h) /h
\n" ); document.write( "2x+h+2 (answer)
\n" ); document.write( " \n" ); document.write( "

\n" );