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

Question

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

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Alice 4 months 2022-01-31T06:08:33+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-01-31T06:09:40+00:00

    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

    0
    2022-01-31T06:10:22+00:00

    Answer:

    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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