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12 March, 21:29

Siven that f (x) = x2 - 7 and g (x) = 4 - x, find (f - g) (1), if it exists.

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  1. 13 March, 00:33
    0
    - 9

    Step-by-step explanation:

    Note that (f - g) (x) = f (x) - g (x)

    f (x) - g (x)

    = x² - 7 - (4 - x)

    = x² - 7 - 4 + x

    = x² + x - 11

    Thus

    (f - g) (1) ← substitute x = 1 into (f - g) (x)

    = 1² + 1 - 11

    = 1 + 1 - 11

    = - 9
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