Whcih of the following will form the composite function G(F(x)) shown below? G(F(x))= 3(x+1)^2
a. F(x)=x+1 and G(x)=3x^2
b.f(x)=3x+1 and g(x)=x^2
c.f(x)=^2 and g(x) = 3x+1
d. f(x)=3x^2 and g(x)= 1

Respuesta :

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

How to find the composite function of f(x) and g(x)?

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.

More can be learned about composite functions at https://brainly.com/question/13502804

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