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Simplify the difference quotient

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Simplify the difference quotient

asked Sep 8, 2018 in PRECALCULUS by skylar Apprentice

1 Answer

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f(x) = 2x+x^2

f(x+h) = 2(x+h)+(x+h)^2

          =2x+2h+x^2+2xh+h^2

[f(x+h)-f(x)]/h =[(2x+2h+x^2+2xh+h^2)-(2x+x^2)]/h

                     =[(2h+2xh+h^2)]/h

                     =h(2+2x+h)/h

                     =2+2x+h

answered Sep 14, 2018 by lilly Expert
reshown Sep 14, 2018 by bradely

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