document.write( "Question 746262: For the given function x^2+1, find f(x+h)-f(x)/h \n" ); document.write( "

Algebra.Com's Answer #454207 by nerdybill(7384) $\"\"$ $\"About$

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For the given function x^2+1, find f(x+h)-f(x)/h
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\n" ); document.write( "f(x) = x^2+1
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\n" ); document.write( "f(x+h) = (x+h)^2+1
\n" ); document.write( "f(x+h) = (x+h)(x+h)+1
\n" ); document.write( "f(x+h) = (x^2+2hx+h^2)+1
\n" ); document.write( "f(x+h) = x^2+2hx+h^2+1
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\n" ); document.write( "so, f(x+h)-f(x)/h is:
\n" ); document.write( "[(x^2+2hx+h^2+1) - (x^2+1)]/h
\n" ); document.write( "[x^2+2hx+h^2+1 - x^2-1]/h
\n" ); document.write( "[2hx+h^2+1-1]/h
\n" ); document.write( "[2hx+h^2]/h
\n" ); document.write( "2x+h (final answer)
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