Respuesta :

hello : 
 F(x) = x + 2 and G(x) = 3x + 5
(F× G) (x) =F(x) × G(x) = (x+2)(3x+5) = 3x²+5x+6x+10
(F× G) (x) = 3x² +11x+10

The resulting composite function f(g(x)) is 3x+7

What are composite functions?

Composite functions is a function inside another function. Given the following functions;

F(x) = x + 2 and

G(x) = 3x + 5

Required

f(g(x))

Substitute

f(g(x)) = f(3x + 5)

f(g(x)) = (3x + 5) + 2

f(g(x)) = 3x + 7

Hence the resulting composite function f(g(x)) is 3x+7

Learn more on composite function here: https://brainly.com/question/10687170

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