given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))

Question

given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))

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Edana Edana 4 years 2021-08-26T06:53:50+00:00 1 Answers 6 views 0

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  1. Amity
    0
    2021-08-26T06:55:36+00:00
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    Answer:

    f(g(x)) = 15x + 2

    General Formulas and Concepts:

    Pre-Algebra

    Order of Operations: BPEMDAS

    1. Brackets
    2. Parenthesis
    3. Exponents
    4. Multiplication
    5. Division
    6. Addition
    7. Subtraction
    • Left to Right

    Distributive Property

    Algebra I

    • Functions
    • Function Notation
    • Composite Functions

    Step-by-step explanation:

    Step 1: Define

    Identify

    f(x) = 5x + 7

    g(x) = 3x – 1

    Step 2: Find

    1. Substitute in functions:                                                                                    f(g(x)) = 5(3x – 1) + 7
    2. [Distributive Property] Distribute 5:                                                                 f(g(x)) = 15x – 5 + 7
    3. [Addition] Combine like terms:                                                                        f(g(x)) = 15x + 2

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