​Find and simplify the different quotient f(x+h)-f(x) / h f(x)=x^2-9x+2 f(x+

Algebra
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Find and simplify the different quotient 

f(x+h)-f(x) / h

f(x)=x^2-9x+2

f(x+h)-f(x) / h =???? simplify 

Jun 6th, 2015

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f(x)=x^2-9x+2

f(x+h)= (x+h)^2-9(x+h)+2= x^2+2xh+h^2-9x-9h+2

f(x+h)-f(x) / h = (x^2+2xh+h^2-9x-9h+2-x^2+9x-2)/h 

=(2xh+h^2-9h)/h= h(h+2x-9)/h = h+2x-9

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 7th, 2015

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