Final answer:
The recursive form of the function f(x)=-4x^2x-1 is f(n) = -4f(n-1)^2^(n-1)-1.
Step-by-step explanation:
The recursive form of the function f(x)=-4x2x-1 is option C) f(n) = -4f(n-1)2(n-1)-1-1.
A recursive function is defined in terms of previous values of the function itself. In this case, the function f(n) is defined in terms of f(n-1), which means that each value of f(n) depends on the value of f(n-1) before it. The recursive form helps in solving problems and finding patterns.
For example, if we want to find the value of f(5), we can use the recursive form:
f(5) = -4f(4)2(4)-1)-1
And so on, until we reach the base case f(0) = -4.