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
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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