Question

F(x) = 4-x2 and g=(x)=2x+5 what is the value of (f(g(-2))

Answer 1

f(g(-2)) = 3

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
• Composite Functions

Explanation:

Step 1: Define

Identify

f(x) = 4 - x²

g(x) = 2x + 5

Step 2: Find g(-2)

1. Substitute in x [Function g(x)]: g(-2) = 2(-2) + 5
2. Multiply: g(-2) = -4 + 5
3. Add: g(-2) = 1

Step 3: Find f(g(-2))

1. Substitute in x [Function f(x)]: f(g(-2)) = 4 - (1)²
2. Evaluate exponents: f(g(-2)) = 4 - 1
3. Subtract: f(g(-2)) = 3