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11 December, 15:41

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.

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  1. 11 December, 19:09
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    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
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Home » Mathematics » 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.
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