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18 October, 19:59

If f (x) = x2 + 2x, which expression represents f (x + 2) ?

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Answers (2)
  1. 18 October, 20:56
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    f (x) = x^2 + 2x

    To get f (x + 2), we just plug in the x + 2 where ever there's an x

    f (x + 2) = (x + 2) ^2 + 2 (x + 2)

    f (x + 2) = x^2 + 4x + 4 + 2x + 4

    f (x + 2) = x^2 + 6x + 8
  2. 18 October, 20:59
    0
    x^2 + 6x + 8.

    Step-by-step explanation:

    We replace the x in f (x) by x + 2 then simplify.

    f (x+2) = (x + 2) ^2 + 2 (x + 2)

    = (x + 2) (x + 2) + 2 (x + 2)

    = (x + 2 (x + 2 + 2)

    = (x + 2 (x + 4)

    = x^2 + 6x + 8.
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