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12 May, 08:01

Let f (x) = 3x + 5 and g (x) = x - 4.

Find f o g and its domain

Answer choices

3x + 1; all real numbers

3x + 1; all real numbers except x = 4

3x - 7; all real numbers

3x - 17; all real numbers except x = 4

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Answers (1)
  1. 12 May, 08:18
    0
    The answer is 3x - 7; all real numbers

    f (x) = 3x + 5

    g (x) = x - 4

    (f o g) (x) = f (g (x)) =

    = f (x - 4) =

    = 3 (x - 4) + 5 =

    = 3x - 12 + 5 =

    = 3x - 7
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