Question

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

Answer 1

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