f(x)=x/(x+2) and g(x)=4x-2

(A.) Find f of g(1).
Is the solution "1/2" correct?

(B.) Find g of f of f(2).
Is the solution "-6/5" correct?

(A) Yes

(B) Are you sure you don't mean g of f(2) ?
f[f(2)] = f(1/2) = (1/2)/(5/2) = 1/5
g(1/5) = 4/5 - 2 = -6/5