Answer:
C: [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Given the function, [tex]f(x) = 2*3^{x}[/tex], for f(–2):
Substitute the given input value into the function:
[tex]f(-2) = 2(3)^{-2} = 2(\frac{1}{3^{2} }) = 2(\frac{1}{9}) = \frac{2}{9}[/tex]
Therefore, f(–2) = [tex]\frac{2}{9}[/tex], making C the correct answer.
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