Question

Which of the following will form the composite function G(F(x)) shown

Answer 1

The composite function G(F(x)) = x² + 4 is formed with these following original functions:

D. F(x) = x² and G(x) = x + 4.

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:

$(f \circ g)(x) = f(g(x))$

For g of f(x), we have that:

$(g \circ f)(x) = g(f(x))$

For this problem, we have that:

G(F(x)) = x² + 4.

Which is possible with option D, as:

$G(F(x)) = G(x^2) = x^2 + 4$

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

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