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For the function f(x)=5x-3 and g(x)=x+4 which composition produces the greatest output
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1 vote
For the function f(x)=5x-3 and g(x)=x+4 which composition produces the greatest output

User Masud Rahman
by
7.1k points

2 Answers

1 vote
the first one: 5(x+4)-3=5x+20-3=5x+17
the second one: 5x-3+4=5x+1
when you substitute 1 with both the functions: 5*1+17=22 and 5*1+1=6
the answer would be: (A) produces the greatest output. i think that is how you do it.
User Todd Palmer
by
9.0k points
4 votes
F(g(x)) = 5(x+4)-3
= 5x+20-3
= 5x+17

G(f(x)) = 5x-3+4
= 5x+1

Therefore, f composed of g produces the greatest output.

User Massagran
by
8.3k points
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