Consider the function f(x) = -2×2 +3x-8. Determine f(k+4). Fully simplify your answer.

Question

Consider the function f(x) = -2×2 +3x-8. Determine f(k+4). Fully simplify your answer.

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niczorrrr 5 years 2021-07-24T00:22:58+00:00 2 Answers 24 views 0

Answers ( )

  1. taiduc
    0
    2021-07-24T00:24:01+00:00
    Reply

    Answer:

    3k

    Step-by-step explanation:

    f(x)=-2*2+3x-8

    f(k+4)=-2*2+3(k+4)-8

    =-4+3k+12-8

    =3k

  2. Sigrid
    0
    2021-07-24T00:24:33+00:00
    Reply

    Answer:

    f(k + 4) = -2k² – 13k – 28

    General Formulas and Concepts:

    Pre-Algebra

    • Distributive Property

    Algebra I

    • Terms/Coefficients
    • Expand by FOIL
    • Functions
    • Function Notation

    Step-by-step explanation:

    Step 1: Define

    Identify

    f(x) = -2x² + 3x – 8

    Step 2: Evaluate

    1. Substitute in x [Function f(x)]:                                                                           f(k + 4) = -2(k + 4)² + 3(k + 4) – 8
    2. Expand [FOIL]:                                                                                                  f(k + 4) = -2(k² + 8k + 16) + 3(k + 4) – 8
    3. [Distributive Property] Distribute:                                                                    f(k + 4) = -2k² – 16k – 32 + 3k + 12 – 8
    4. Combine like terms:                                                                                         f(k + 4) = -2k² – 13k – 28

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )