Section 5.1: 1. Let f(x) = Vx - 2 and g(x) = (a) Find the domain of f . g and find and simplify a formula for (f . g) (x). (b) Find the domain of g . f and find and simplify a formula for (g . f) (x) 2. Write F(x) = v7x + 5 as a composition of two or more non-identity functions. Section 5.2: 3. Let f (x) = 3x x+1' a) Assuming f is one-to-one, find a formula for f-1(x). b) Check your answer to part (a) using function composition c) Find the range of f4. Explain why a function 1with more than one xintercept cannot be invertible Section 5.3: 5. Solve: x4 :1 12 x2 6. Letflx] : v5 3:. Find the domain off cf