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  1. 8) Find the composite function and its domain. Also, make up some evaluation problems using the given functions.

  2. LESSON 4 COMPOSITION FUNCTIONS AND INVERSE FUNCTIONS. 1. COMPOSTION FUNCTIONS. Definiton Let f and g be two functions. The composite function f g is the function defined by ( f g )( x ) f ( g ( x ) ) . The domain of f g is the set of all x in the domain of g such that g ( x ) is in the domain of f.

  3. Part 1 presents mathematical formulas together with other material, such as definitions, theorems, graphs, diagrams, etc., essential for proper understanding and application of the formulas.

  4. 1.8 Combinations of Functions: Composite Functions. What you should learn. Add, subtract, multiply, and divide functions. Find the composition of one function with another function. Use combinations and compo-sitions of functions to model and solve real-life problems. Why you should learn it.

  5. Composite Functions Topics Practice Exercises (with Solutions) Topics include interpreting graphs, tables, inverses, domain, average rate of change, and more. Mathplane.com

  6. 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.

  7. Express the composite function gf in the form gf:x ! ... C3. f(x) = x2 , g(x) = 2 + x. Solve the equation fg(x) = g(x) D1. f:x ! 2x − 3 , g:x ! 1+ x. Calculate fg(6) D2. x − 6 f(x) = , g(x) = x − 4.

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