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Mathematics · Try a worked example
Given f(x) = 2x + 1 and g(x) = x², find (f ∘ g)(3). Apply the inner function first.
First calculate g(3) = 3² = 9, then f(9) = 2 × 9 + 1 = 19. The answer is 19. Reversing the order gives g(f(3)) = 49, which is a different calculation.
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