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For f(x)=x^2+4x, find f(x+h)-f(x)/h

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For f(x)=x^2+4x, find f(x+h)-f(x)/h.

solving-function
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asked Mar 5, 2014 in ALGEBRA 2 by angel12 Scholar

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1 Answer

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Given funtion f(x) = x^2+4x

[f(x+h)-f(x)]/h = [(x+h)^2+4(x+h)-(x^2+4x)]/h

= [x^2+h^2+2xh+4x+4h-x^2-4x]/h

= (h^2+2xh+4h)/h

= h(h+2x+4)/h

[f(x+h)-f(x)]/h = h+2x+4

answered Mar 5, 2014 by david Expert

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