Calculus - limit with f(x) and g^2(x) in limit

[insane0hflex]

Homework Statement

See the bottom problem (#2)
See image - http://imageshack.us/photo/my-images/842/img7774y.jpg/

The Attempt at a Solution

Plugged in 2 for f(x) and -4^2 for g^2(x)

got 2/3,

Is this correct? All help appreciated! Mad at my Calc teacher because he never gave us an example of this in class.

 

[micromass]

2/3 is correct!