Final answer:
The function F(x) = 1/3 * 4^x evaluated at x = 3 gives the result 64/3, which corresponds to answer choice 1.
Step-by-step explanation:
The function given is F(x) = 1/3 * 4^x. To find the value of the function at x = 3, we simply insert 3 in the place of x. This is incredibly straightforward, and it gives us:
F(3) = 1/3 * 4^3
The expression 4^3 denotes the number 4 multiplied by itself 3 times, so, 4^3 = 4 * 4 * 4 = 64. Inserting this into our previous equation gives us:
F(3) = 1/3 * 64 = 64/3.
So, the answer is 64/3, which corresponds to answer choice 1.
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