Question

If f(x) = 3 -3 and g(x) = 3x² + x - 6, find (f+ 9)(x).​

Answer 1

Answer:

$\displaystyle B. \ 3x^2 + \frac{3}{2}x - 9$

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

• Terms/Coefficients
• Functions

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = \frac{x}{2} - 3$

$\displaystyle g(x) = 3x^2 + x - 6$

Step 2: Find

1. Substitute in functions:                                                                                    $\displaystyle (f + g)(x) = \frac{x}{2} - 3 + 3x^2 + x - 6$
2. Combine like terms:                                                                                         $\displaystyle (f + g)(x) = 3x^2 + \frac{3}{2}x - 9$