Let F(x) = x^2 – 15 and G(x)= 4 – x Find (F/G)(–7) =

Question

Let F(x) = x^2 – 15 and
G(x)= 4 – x
Find (F/G)(–7) =

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Thanh Hà 3 years 2021-08-01T16:27:09+00:00 1 Answers 4 views 0

Answers ( )

  1. ngochoa
    0
    2021-08-01T16:28:42+00:00
    Reply

    Answer:

    \displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{34}{11}

    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

    Algebra I

    • Functions
    • Function Notation

    Step-by-step explanation:

    Step 1: Define

    Identify

    F(x) = x² – 15

    G(x) = 4 – x

    Step 2: Find

    1. Substitute in functions:                                                                                     \displaystyle \bigg( \frac{F}{G} \bigg)(x) = \frac{x^2 - 15}{4 - x}

    Step 3: Evaluate

    1. Substitute in x [Function (F/G)(x)]:                                                                    \displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{(-7)^2 - 15}{4 - (-7)}
    2. Exponents:                                                                                                         \displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{49 - 15}{4 - (-7)}
    3. Subtract:                                                                                                            \displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{34}{11}

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