11. Let f(x) = x³ - 2x² + x-1 so f(1) = -1 and f(2)= 1. Let g be the X inverse of f; that is, g(x) = f(x) for all x. Then, g'(1) =

The function f is defined by f(x) = -x³ - 4x + 5 and the point (-1, 10) is on the graph of f. If g is the inverse function of f, what is the value of g'(10)?

Suppose that f(x) and g(x) are each one-to-one functions. Suppose also that f(2) = 5, f(5) = 6, g(6) = 5, g(5)= 3.5, and that g(2) = 6. Compute 1. f-¹ (g(6)) 2. f(g-¹ (6)) 3. g=¹(f(2)) = | 4. g(f ¹(5)) = =

g(-12) g'(-12)=