For the function ƒ(x) = 4x − 3, evaluate and simplify the expression:

Question

f (a+h)-f(a)

       h

Answer 1

This looks to be priming you for the concept of the derivative from Calculus I (in Calculus you take the limit as h approaches 0):

 

f(a+h) = 4(a+h) - 3

f(a) = 4(a) - 3

 

(f(a+h)-f(a)) / h =  ((4a+4h-3)-(4a-3)) / h = 4h/h = 4