Question: The functions f and g are defined for x R by f: x 3x + 2 g: x x + 1 a)

The functions f and g are defined for x ∈ R by f: x ↦ 3x + 2 g: x ↦ x² + 1

a) Find the values of x for which fg(x) = gf(x).

b) Find an expression for (fg)−¹(x), stating its domain. 

c) Explain why (fg)−¹(x) is not a function.

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