For this case we have the following exponential function:
[tex]f (x) = 2 (4) ^ x
[/tex]
To find the value of f (-2) what we must do is substitute the value of x = -2 in the given function.
We have then:
[tex]f (x) = 2 (4) ^{-2}[/tex]
Then, rewriting the function we have:
[tex]f (x) = \frac{2}{4^2} [/tex]
[tex]f (x) = \frac{2}{16} [/tex]
Finally, simplifying we have:
[tex]f (x) = \frac{1}{8} [/tex]
Answer:
The value of f (-2) is:
[tex]f (x) = \frac{1}{8} [/tex]
option B
