AP Calculus AB; Mean Value Theroem homework

Question

Hey guys, I am in AP Calculus and, so far, I finish like 85-90% of my work, but I am stuck with two questions, which is mainly about Mean Value Theorm, and I thought it gonna be easy and fast. But, I don’t know, I can’t get an answer from these two problems. I keep watching YouTube videos, websites and such, but It doesn’t seem to work, please help 

This is the two problems 

1) X^2/3x-3. [2,4]

2) X^2/2x+2 [-4,0] 

(You can explain to me with details only one problem and, I can definitely will get what to do with the other problem) 

(PS, this is my two questions and, so far my work I have done, I did average change and, I found the deritive using quotient rule, but that the furthest, I did) 

Answer 1

1. f(x) = x² / (3x-3) is continuous on [2,4] and is differentiable on (2,4). So, by the Mean Value Theorem, there is at least one number, c, in the interval (2,4) so that f'(c) = [f(4)-f(2)] / (4-2).

Find c:

(3c² - 6c) / (3c-3)² = 2/9

Simplify to get c² - 2c - 2 = 0

So, c = 1+√3 (1-√3 is not in the interval (2,4))

For the second problem, the Mean Value Theorem does not apply as the function f(x) = x² / (2x+2) is not continuous on the interval [-4,0]. (-1 is a dscontinuity)