The composite function G(F(x)) = 3(x + 1)² is formed with these following original functions:
D. f(x) = 3x² and g(x) = x + 1
The composite function of f(x) and g(x) is given as follows:
[tex](f \circ g)(x) = f(g(x))[/tex].
Considering f(x) = 3x² and g(x) = x + 1, the composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(x + 1) = 3(x + 1)^2[/tex]
Hence option D is correct.
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