Page 68 - Calculus Demystified
P. 68

Basics
                     CHAPTER 1
                       20. Determine whether each of the following functions, on the given domain  55
                            S, is invertible. If it is, then find the inverse explicitly.
                                           2
                              (a)  f(x) = x ,  S =[2, 7]
                              (b)  g(x) = ln x,  S =[1, ∞)
                              (c)  h(x) = sin x,  S =[0,π/2]
                              (d)  f(x) = cos x,  S =[0,π]
                              (e)  g(x) = tan x,  S = (−π/2,π/2)
                                           2
                              (f)  h(x) = x ,  S =[−2, 5]
                                           2
                              (g)  f(x) = x − 3x,   S =[4, 7]
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