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18 November, 13:38

For all values of x,

f (x) = x^2 + 3 and g (x) = x-4

show that fg (x) = x^2 - 5x + 4

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Answers (1)
  1. 18 November, 14:06
    0
    x^2 - 8x + 19.

    Step-by-step explanation:

    We replace the x in f (x) by the expression for g (x):

    f (g (x)) = (x - 4) ^2 + 3

    = x^2 - 8x + 16 + 3

    = x^2 - 8x + 19.
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