Respuesta :

Answer:

2/9

Step-by-step explanation:

We have [tex]f(x)=2 \cdot 3^x[/tex] and are asked to find [tex]f(-2)[/tex].

[tex]f(-2)[/tex] means to replace x with -2 and evaluate the expression named f.

Let's do that:

[tex]f(x)=2 \cdot 3^x[/tex]

[tex]f(-2)=2 \cdot 3^{-2}[/tex]

[tex]f(-2)=2 \cdot \frac{1}{3^2}[/tex]

[tex]f(-2)=2 \cdot \frac{1}{9}[/tex]

[tex]f(-2)=\frac{2}{9}[/tex]

Answer:

2/9

Step-by-step explanation:

Given:

  • [tex]f(x)=2*3^x[/tex]
  • [tex]f(-2)[/tex]

We'd substitute x with -2:

[tex]2 *3^{-2}[/tex]

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

[tex]3^{-2}=.111[/tex](repeating)

Multiply by 2:

.111(repeating) * 2 = 2/9

Our answer is 2/9

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