Question

Given f(x) = x − 7 and g(x) = x2 . What does f(g(4)) =

Answer 1

f(g(4)) = 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

• Functions
• Function Notation
• Composite Functions

Explanation:

Step 1: Define

Identify

f(x) = x - 7

g(x) = x²

Step 2: Find f(g(4))

1. Substitute in x [Function g(x)]: g(4) = 4²
2. Evaluate exponents: g(4) = 16
3. Substitute in x [Function f(x)]: f(g(4)) = 16 - 7
4. Subtract: f(g(4)) = 9

Answer 2

9

Explanation:

f(x) = x − 7

g(x) = x^2

Find g(4) = 4^2 = 16

Then find f(g(4)) = f(16) = 16 -7 = 9