Question

Find f(-2) for f(x) = 2(4)^x

O A.1/16
O B.1/8
O C. -16
OD. - 32

Answer 1

B. 1/8

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

`\displaystyle f(x) = 2(4)^x\\f(-2) \ is \ x = -2`

Step 2: Evaluate

1. Substitute in x:
   `\displaystyle f(-2) = 2(4)^(-2)`
2. Exponents:
   `\displaystyle f(-2) = 2((1)/(16))`
3. Multiply:
   `\displaystyle f(-2) = (1)/(8)`