Question

The function of f is defined as follows

Answer 1

f(-121) = -5

f(31) = 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

• Function Notation

Explanation:

Step 1: Define

f(x) = ∛(x - 4)

f(-121) is x = -121

f(31) is x = 31

Step 2: Evaluate

f(-121)

1. Substitute in x: f(-121) = ∛(-121 - 4)
2. [Radical] Subtract: f(-121) = ∛(-125)
3. [Radical] Evaluate: f(-121) = -5

f(31)

1. Substitute in x: f(31) = ∛(31 - 4)
2. [Radical] Subtract: f(31) = ∛27
3. [Radical] Evaluate: f(31) = 3