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f of g of x is a composite function that is represented by f(g(x)) (or) (f ∘ g)(x). Learn more about definition of f of g of x and how to find f of g of x algebraically, from the table, and from the graph.
For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x ”. The function g (x) is called an inner function and the function f (x) is called an outer function.
Functions f (x) and g(x) are defined as shown in the tables at the right. Use the tables to: a) determine the following functions, in the order listed: (f o g)(2); (g o f)(3); (f o f)(4);
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Composite functions, also known as f of g of x, are mathematical operations denoted as f (g (x)) or (f ∘ g) (x). This notation implies that the value of x should be substituted into g (x) first, and then the result should be plugged into f (x).
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Composite Functions - Practice (and solutions) . For the given functions f and g, find (answer on the back) . Answers . 1. f(x) =2X+3 1' x . b) d) g(g(x)) x b) c) d) x 1 a) f(g(x)) = 2(3x) + 3 — 6x + 3 b) g(f(x)) — 3(2x + 3) — 6x+9 d) g (g(x)) 3(3x) — 9x 4. f(x) = 2m, b), 2 . b) d) (x2 ) x 4 2x2 I . Author. Created Date.
