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27 May, 08:05

If f (x) = 5^x2 - 3 and g (x) = x2 - 4x - 8, find (f - g) (x).

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  1. 27 May, 11:55
    0
    4x² + 4x + 5

    Step-by-step explanation:

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

    f (x) - g (x)

    = 5x² - 3 - (x² - 4x - 8) ← distribute parenthesis by - 1

    = 5x² - 3 - x² + 4x + 8 ← collect like terms

    = 4x² + 4x + 5
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