Answer:
f(-2) = 54
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
Explanation:
Step 1: Define
f(x) = 3x(x² + 4x - 5)
f(-2) is x = -2
Step 2: Evaluate
- Substitute in x [Function]: f(-2) = 3(-2)[(-2)² + 4(-2) - 5]
- [Brackets] Evaluate exponents: f(-2) = 3(-2)[4 + 4(-2) - 5]
- [Brackets] Multiply: f(-2) = 3(-2)[4 - 8 - 5]
- [Brackets] Subtract: f(-2) = 3(-2)[-4 - 5]
- [Brackets] Subtract: f(-2) = 3(-2)(-9)
- Multiply: f(-2) = -6(-9)
- Multiply: f(-2) = 54