(See attached file for full problem description)
1. Find the domain of f: f(x) = (x - 1) / (1 - 4x)1/2.
2. If f(x) = x1/2 and g(x) = |x|, find fg, f/g, and their domains.
3. Given g(x) = x2 + 3 and f(x) = (x - 3)1/2, find fog(x), gof(x), and fog(-4).
4. Graph f(x) = | (x+1)2 + 2 |. Use rules of transformation of functions.
This shows how to find the domain of functions using composition and transformation of functions.