Question

Find f(-2) for f(x) = 2 • 3 ^x

А. -18
B. 2/9
C. 1/18 D. -36

Answer 1

2/9

Explanation:

Given:

• 
  `f(x)=2*3^x`

• 
  `f(-2)`

We'd substitute x with -2:

`2 *3^(-2)`

Using order of operations, we'd solve the exponent first:

`3^(-2)=.111`(repeating)

Multiply by 2:

.111(repeating) * 2 = 2/9

Our answer is 2/9

Answer 2

2/9

Explanation:

We have
`f(x)=2 \cdot 3^x` and are asked to find
`f(-2)`.

`f(-2)` means to replace x with -2 and evaluate the expression named f.

Let's do that:

`f(x)=2 \cdot 3^x`

`f(-2)=2 \cdot 3^(-2)`

`f(-2)=2 \cdot (1)/(3^2)`

`f(-2)=2 \cdot (1)/(9)`

`f(-2)=(2)/(9)`