Calculate (f ∘ g) (x) using f(x) = 2x + 3 and g(x) = -x 2 + 1,. Solution. (f ∘ g) (x) = f(g(x)) = 2 (g(x)) + 3 = 2(-x 2 + 1) + 3 = – 2 x 2 + 5. Example 10.
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