CCSS HSF-BF.A.1.c Worksheets
Year 11 · Mathematical Methods - Functions and Graphs
Combine two functions by composition, forming f(g(x)) and g(f(x)) and evaluating them, and recognise that the order of composition matters (ACARA Mathematical Methods ACMMM022-024).
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Teaching guide
What students learn
Combine two functions by composition, forming f(g(x)) and g(f(x)) and evaluating them, and recognise that the order of composition matters (ACARA Mathematical Methods ACMMM022-024).
Worked example
Given f(x) = -2x + 2 and g(x) = -3x - 4, find (f o g)(x) = f(g(x)).
Answer: (f o g)(x) = 6x + 10
Why: f(g(x)) = -2(-3x - 4) + 2 = 6x + 10.
Generated and checked in code, so it is correct.