Question

If f(x) = -2x + 7 and g(x) = x2 – 2, then f(g(3)) is
equal to

Answer 1

f(g(3)) = -7

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

Identify

f(x) = -2x + 7

g(x) = x² - 2

Step 2: Find f(g(3))

1. Substitute in x [Function g(x)]: g(3) = 3² - 2
2. Evaluate exponents: g(3) = 9 - 2
3. Subtract: g(3) = 7
4. Substitute in g(3) [Function f(x)]: f(g(3)) = -2(7) + 7
5. Multiply: f(g(3)) = -14 + 7
6. Add: f(g(3)) = -7