For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output? both compositions produce the same output. neither composition produces an output. f(g(x)) produces the greatest output. g(f(x)) produces the greatest output.

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For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output? both compositions produce the same output. neither composition produces an output. f(g(x)) produces the greatest output. g(f(x)) produces the greatest output.

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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 f (g (x)) subtracts less quantity.
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