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

User Generated

FBFHER

Mathematics

Description

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

 where

h ≠ 0.

f(x) = x2 + 6

f(a)         =             

f(a + h) =             

f(a + h) − f(a)/h=

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Explanation & Answer

f(a)=a^2+6

f(a+h)=(a+h)^2+6=a^2+2ah+h2+6

f(a+h)-f(a)/h= [(a^2+6+2ah+h^2)-(a^2+6)]/h

                    =(2ah+h^2)/h

                     =2a+h

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