Composition & Inverse of Functions (Year 11)
Free printable Year 11 Mathematical Methods worksheet on composing functions f(g(x)) and finding and verifying inverse functions (ACMMM022-024, ACMMM153).
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Year 11 · Math worksheet
Name
Date
Math
Functions: Composition & Inverse of Functions
Build composite functions f(g(x)) and g(f(x)), evaluate them, and find and verify inverse functions. (ACARA Mathematical Methods Unit 1: ACMMM022-024; inverse relationship ACMMM153.)
- 1.Given f(x) = -2x + 2 and g(x) = -3x - 4, find (f o g)(x) = f(g(x)).
- 2.Given f(x) = 4x - 6 and g(x) = 3x + 1, find (f o g)(x) = f(g(x)).
- 3.Given f(x) = -2x - 1 and g(x) = 3x + 1, find (f o g)(x) = f(g(x)).
- 4.Given f(x) = 3x - 4 and g(x) = 3x + 2, find (g o f)(x) = g(f(x)).
- 5.Given f(x) = -2x - 5 and g(x) = 3x - 5, find (g o f)(x) = g(f(x)).
- 6.Given f(x) = 3x - 5 and g(x) = -3x - 4, evaluate (f o g)(0).
- 7.Given f(x) = -3x + 1 and g(x) = 2x + 4, evaluate (f o g)(1).
- 8.Given f(x) = and g(x) = 2x - 2, evaluate (f o g)(0) = .
- 9.Find the inverse function (x) for f(x) = -2x - 1.
- 10.Find the inverse function (x) for f(x) = -3x - 6.
- 11.Find the inverse function (x) for f(x) = 4x + 2.
- 12.For f(x) = 2x - 2, show that (f(3)) returns 3.
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