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AP Precalculus
AP Precalc 2.7–2.9: Flashcards
Shared by Ashton · Nov 12, 2026 · 0 plays
43 cards on composition, inverse functions and logarithmic expressions: definitions, steps, properties, key values and the traps that cost points. Concept Check 2.7–2.9 prep.
43 cards across 3 sections. Flip each card, then say whether you knew it. Cards you miss come back until you know them all.
Sample questions
Open an item to see its answer.
(f ∘ g)(x)
f(g(x)): apply g first, then f. Read "f composed with g at x."
Is f ∘ g the same as f · g?
No. The circle is composition. f(g(x)) ≠ f(x)·g(x).
Are f(g(x)) and g(f(x)) equal?
Usually not. Order matters. Example: f(x) = x + 2, g(x) = 3x gives 3x + 2 vs. 3x + 6.
Order of work in (g ∘ f ∘ h ∘ k)(3)
Right to left: k first, then h, then f, then g: g(f(h(k(3)))).
Domain of f ∘ g
All x in the domain of g such that g(x) is in the domain of f.