f'(x) if x is less than or greater than 1

Question

Let F'(x)={
g'(x) if x>1
Where f'(x)=x/(x^2-2)^2 and g'(x)=3x-4
A. If f(1)=3/2, find f(x)

B. If F(x) is continuous at x=1, find g(x).

C. Express F(x).

D. If F(x) is continuous at x=1, determine if F(x) is differentiable at x=1.

It's supposed to be a piecewise function. And I have no idea how to go about this problem. Can you please help? Thanks.