How far do domain restrictions carry over when you have a function inside a function?

Question 1 a) Find the inverse of y = sqrt(x-2) + 1, b) State the domain and the range of y-1 Question 2 f(x) = sqrt(x-1) g(x) = x + (1/x) Find f(g(x)) and g(f(x)) Question …

This question was found in TSSM 2008 Trial Exam 2 - MCQ 5 (Methods): If f(rt(3) g(x-1)) = 81x4 - 310.5x3 + 333.32x2 - 64.54x - 0.64, then f(x) and g(x) =