Question

F(x)=-2x² + 3x-6, find f (3)

Answer 1

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6

Exponents: f(3) = -2(9) + 3(3) - 6

Multiply: f(3) = -18 + 9 - 6

Add: f(3) = -9 - 6

Subtract: f(3) = -15

Answer 2

f(3) = -15

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

Explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

1. Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6
2. Exponents: f(3) = -2(9) + 3(3) - 6
3. Multiply: f(3) = -18 + 9 - 6
4. Add: f(3) = -9 - 6
5. Subtract: f(3) = -15