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12 September, 19:23

If f (x) = x2 - 2x and g (x) = 6x +. 4, for which value of x does (f + g) (x) = 0?

A.-4

B.-2

C. 2

D. 4

+5
Answers (1)
  1. 12 September, 22:27
    0
    B

    Step-by-step explanation:

    note that (f + g) (x) = f (x) + g (x), thus

    f (x) + g (x) = x² - 2x + 6x + 4 = x² + 4x + 4

    Equating to zero gives

    x² + 4x + 4 = 0 ← in standard form

    (x + 2) ² = 0 ← in factored form, thus

    x + 2 = 0 ⇒ x = - 2 → B
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