Given Composite Function : How to Find the Inside or Outside Function

Problem 1 :

Let f(x) = x + 3 and f ∘ g = 2x. Find g(x).

Solution :

Problem 2 :

Solution :

Problem 3 :

Solution :

Problem 4 :

Let g(x) = x^⅓ and f ∘ g = 2x + 3. Find f(x).

Solution :

Problem 5 :

Let g(x) = e^2x and f[g(x)] = 2x. Find f(x).

Solution :

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