Final answer:
The excluded value of the function f(x) is -1 since this value would make the denominator equal to zero, thus making the function undefined.
Step-by-step explanation:
The student is asking about the excluded value for the function f(x) defined as f(x) = (-x²-3x-1)/(x+1). The excluded value of a function is any value of x that would cause the function to be undefined. In this case, the denominator of the function f(x) is x+1. The function will be undefined if the denominator equals zero, so we must find the value of x that makes x+1 equal to zero.
Setting the denominator equal to zero, we get x+1 = 0. Solving for x, we find that x = -1 is the excluded value for this function, because if x equals -1, the denominator of f(x) will be zero and the function will be undefined.