Find each of the following for
f(x) = 8x + 3.
(a) f (x + h)
(b) f (x + h - f (x)
(c) (f (x+h - f(x))/h

(a)

(b)

(c)

We are given a function f(x) as :

(a)

We will substitute (x+h) in place of x in the function f(x) as follows:

(b)

Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

(c)

In this part we will divide the numerator expression which is obtained in part (b) by h to get:

-14 is the answer

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