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

Answer:

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

Step-by-step 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:                          $\displaystyle f(-2) = 2(\frac{1}{16})$
3. Multiply:                               $\displaystyle f(-2) = \frac{1}{8}$