contestada

For the functions f(x) = 2x + 2 and g(x) = 7x + 1, which composition produces the greatest output? a) Both compositions produce the same output. b) Neither composition produces an output. c) f(g(x)) produces the greatest output. d) g(f(x)) produces the greatest output.

Respuesta :

apologiabiology
so subsitue and try so
f(g(x))=2(7x+1)+2
g(f(x))=7(2x+2)+1

multiply them out
f(g(x))=2(7x+1)+2=14x+2+2=14x+4
g(f(x))=7(2x+2)+1=14x+14+1=14x+15
14x+15>14x+4
therefor
g(f(x))>f(g(x))

the answer is D g(f(x)) produces the greatest output
asiafloren

D is the correct answer

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