For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output? A. Both compositions produce

Question

3 years ago

10

For the functions f(x) = 2x − 6 and g(x) = 5x + 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

1 answer:

o-na [289] · Answer 1 · 2022-01-30T12:28:35+03:00

o-na [289]3 years ago

8 0

F(g(x)) = 2(5x+1)-6 = 10x+2-6 = 10x-4

g(f(x)) = 5(2x-6)+1 = 10x-30+1 = 10-29

10x-4>10-29 because from f(g(x)) you subtract less quantity.
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.