Given g(x) = x^2 – 3, find the following.


g(−4 + h) − g(−4)/
h

(all over h)

well, just plug in the values

g(-4+h) = (-4+h)^2 - 3 = 13-8h+h^2
g(-4) = (-4)^2 - 3 = 13
so, the numerator is -8h+h^2

divide that by h and you wind up with

-8 + h