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VashaNatasha [74]
2 years ago
10

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.
Mathematics
2 answers:
Usimov [2.4K]2 years ago
6 0
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
ahrayia [7]2 years ago
5 0

D is the correct answer

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