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17 March, 11:00

What is f (g (x)) when f (x) = x2 + 5, and g (x) = 10 - 5x?

A) f (g (x)) = - 5x2 + 35

B) f (g (x)) = - 5x2 + 15

C) f (g (x)) = 25x2 + 105

D) f (g (x)) = 25x2 - 100x + 105

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Answers (1)
  1. 17 March, 11:16
    0
    D

    Step-by-step explanation:

    To obtain f (g (x)) substitute x = g (x) into f (x), that is

    f (10 - 5x)

    = (10 - 5x) ² + 5 ← expand (10 - 5x) ²

    = 100 - 50x - 50x + 25x² + 5 ← collect like terms

    = 25x² - 100x + 105 → D
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