Respuesta :

Answer:

f(-2) = 1/9

Step-by-step explanation:

Plug in -2 to x in the equation:

f(x) = 3^x

f(-2) = 3^(-2)

Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:

f(-2) = 1/(3^2)

f(-2) = 1/(9)

f(-2) = 1/9 is your answer.

~

Ben

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

  1. Substitute the -2 into the equation.  [tex]f(-2)=3^{-2}[/tex]
  2. Begin to simplify the exponent.  [tex]x^{-y}=\frac{1}{x^y}[/tex], so you get [tex]f(-2)=\frac{1}{3^2}[/tex]
  3. Finish simplifying the exponent.  3 times 3 is 9.  [tex]f(-2)=\frac{1}{9}[/tex]
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