Question

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

Answer 1

`\displaystyle B. \ 3x^2 + (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

Explanation:

Step 1: Define

Identify

`\displaystyle f(x) = (x)/(2) - 3`

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

Step 2: Find

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