We have the function:
[tex]f(x)=5\cdot3^x\text{.}[/tex]We must find the value of f(-2), so we must evaluate the function f(x) for x = -2:
[tex]f(-2)=5\cdot3^{-2}=\frac{5}{3^2}=\frac{5}{9}\cong0.555\ldots[/tex]Answer
[tex]f(-2)=\frac{5}{9}\cong0.555\ldots[/tex]