162k views
3 votes
Question is in the image. I need help with #19

Question is in the image. I need help with #19-example-1
User Dacosta
by
7.2k points

1 Answer

2 votes

EXPLANATION

Replacing the given functions into the following:


(f(x+h)-f(x))/(h)
(x^2-1+h-(x^2-1))/(h)

Removing the parentheses and simplifying:


(x^2-1+h-x^2+1)/(h)

Simplifying like terms:


(h)/(h)=1

Hence,


(f(x+h)-f(x))/(h)=1

User Artur Karbone
by
7.3k points