Final answer:
To evaluate f(3) for the function f(x) = 12(4)^{x-1}, we substitute x with 3 and calculate the exponent followed by the multiplication to find that f(3) equals 192.
Step-by-step explanation:
To evaluate the function f(x) = 12(4)x-1 at f(3), we substitute x with 3 and follow the order of operations (exponents before multiplication).
So,
f(3) = 12(4)3-1
f(3) = 12(4)2
f(3) = 12 * 16
f(3) = 192
Therefore, f(3) equals 192.