Algebra 2 · F-BF
Compose Functions — (f∘g)(x)
(f∘g)(x) = f(g(x)) — substitute g(x) into f. The domain of f∘g requires g(x) to be in the domain of f.
Algebra 2Common Core HSF-BF.A.1cF-BFVerified correct ✓
Worked examples
Let f(x) = -3x − 4 and g(x) = 2x − 1. Find (f∘g)(1).
Answer: -7
Let f(x) = 3x − 3 and g(x) = -3x − 3. Find (f∘g)(-1).
Answer: -3
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