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13 March, 22:06

Given the functions f (x) = 7x + 13 and g (x) = x^2 + 2, which of the following functions represents f[g (x) ] correctly?

f[g (x) ] = 7x^2 + 27

f[g (x) ] = 7x^2 + 15

f[g (x) ] = 49x^2 + 182x + 169

f[g (x) ] = 49x^2 + 182x + 171

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Answers (1)
  1. 14 March, 00:53
    0
    f (g (x)) = x^2 + 27.

    Step-by-step explanation:

    To find f (g (x)) we replace the x in f (x) by g (x) and simplify:

    f (g (x)) = 7 (x^2 + 2) + 13

    = 7x^2 + 14 + 13.

    = 7x^2 + 27.
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Home » Mathematics » Given the functions f (x) = 7x + 13 and g (x) = x^2 + 2, which of the following functions represents f[g (x) ] correctly? f[g (x) ] = 7x^2 + 27 f[g (x) ] = 7x^2 + 15 f[g (x) ] = 49x^2 + 182x + 169 f[g (x) ] = 49x^2 + 182x + 171
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