MTH 162 Lecture Notes - Lecture 6: Inverse Trigonometric Functions, Trigonometric Functions, Inverse Function
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Provide a generalization to each of the key terms listed in this section. What are the two main functions? f 1 (f (x)) = x f (cid:0)f 1 (x)(cid:1) = x. What are the properties of those two functions: f 1 (f (x)) = x and f (cid:0)f 1 (x)(cid:1) = x. F 1 (f (x)) = x would occur every x that"s in f "s domain. F (cid:0)f 1 (x)(cid:1) = x for every x that"s in f "s domain: domain and range. F "s domain = f 1"s range. F "s range = f 1"s domain: both f "s and f 1"s graph are symmetric, but with respect to the line y = x, if and then. If you have a function has its own inverse function, then the implicit equation of the inverse function would be x = f (y).
