Find f(a), f(a + h), and the difference quotient f(a + h) − f(a)/h

Algebra
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Find f(a), f(a + h), and the difference quotient f(a + h) − f(a)/h

,

 where h ≠ 0.

f(x) = x/x + 2

f(a)         =             

f(a + h) =             

f(a + h) − f(a)/h=

Feb 6th, 2015

f(x) = x/x + 2

f(a)  = a/(a+2)   

f(a + h) =(a+h)/(a+h+2)

f(a + h) − f(a)/h=(a+h)/(a+h+2)-a/h(a+2) 

                         =[(a+h)h(a+2)-a(a+h+2)]/h(a+2)(a+h+2)

                         =(ha^2+2ha+ah^2+2h^2-a^2-ah-2a)/h(a+2)(a+h+2)

                         =(ha^2-a^2+ha-2a+ah^2+2h^2)/h(a+2)(a+h+2)


Feb 6th, 2015

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