Given the function:
[tex]f(x)=2(3)^x[/tex]
To find f(-2), substitute x for -2 in the function.
[tex]f(-2)=2(3)^{-2}[/tex]
Solving further using law of indicies, we have:
[tex]\begin{gathered} f(-2)\text{ = }\frac{2}{3^2} \\ \\ f(-2)\text{ = }\frac{2}{9} \end{gathered}[/tex]
ANSWER:
[tex]\frac{2}{9}[/tex]
