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30 June, 23:17

For the functions f (x) = 2x + 3 and g (x) = 6x + 2, which composition produces the greatest output?

A) Neither composition produces an output.

B) Both compositions produce the same output.

C) f (g (x)) produces the greatest output.

D) g (f (x)) produces the greatest output.

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Answers (1)
  1. 1 July, 03:17
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    f (g (x)) = 2 (6x + 2) + 3 = 12x + 7

    for x = 1;

    f (g (x)) = f (g (1)) = 12 (1) + 7 = 19

    g (f (x)) = 6 (2x + 3) + 2 = 12x + 20

    g (f (x)) = g (f (1)) = 12 (1) + 20 = 32

    Thus option "D" is correct.
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Home » Mathematics » For the functions f (x) = 2x + 3 and g (x) = 6x + 2, which composition produces the greatest output? A) Neither composition produces an output. B) Both compositions produce the same output. C) f (g (x)) produces the greatest output.
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