7.1-7.2 Composite Functions and Inverses Practice ... Find the inverse of each function. 1) f (x) = 2. 3 x -. 4. 3. 2) f (x) = -3x - 1. 3) f (x) = -5x - 20. 4) f ... |
We'll begin by defining the composition function f ◦ g(x) = f(g(x)), which is read as “f of g of x”. Another helpful way to think about these is to call ... |
In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function. 21. {(2, 1), (4, 2), (6, 3), (8, 4)}. |
(a) Find the composite function fg. Give your answer as simply as possible. ……………………….. (2). (b) Find the inverse function f. −1. (x). ……………………….. (2). (c) ... |
Compound and Inverse Functions. Instructions. • Use black ink or ball-point pen. Answer all questions. Answer the questions in the spaces provided. - there may ... |
Inverse Functions. Let f and g be two functions such that f(g(x)) = x for every x in the domain of g, and g(f(x)) = x for every x in the domain of f. |
Instructions. Answer all questions. Answer questions in the space provided. All working must be shown. Do all rough work in this book. |
Express h(x) = (2x + 1)2 as a composition of two functions, (f ◦ g)(x). (Note: There are many possible answers). One solution is f(x) = x2,g(x)=2x + 1. 5. |
Worksheet by Kuta Software LLC. -3-. Answers to Function Composition & Inverses. 1) g. −1(x) = 5x + 20. 2) g. −1(n) = −2n − 6. 3) f. −1(n) = 5 −n + 3. 2. 4) g. |
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