So, f(-2) means that any x in the equation becomes -2.
So, the equation becomes 5×[tex] 3^{-2} [/tex].
[tex] 3^{-2} [/tex] is the same thing as [tex] \frac{1}{9} [/tex].
So, multiply 5×[tex] \frac{1}{9} [/tex], and you get [tex] \frac{5}{9} [/tex].
So, your answer is B. [tex] \frac{5}{9} [/tex]