Final answer:
The function f(x)=(x+1)(x−4)(x+3) has C) two solutions.
Step-by-step explanation:
The given function is f(x) = (x + 1)(x - 4)(x + 3). To find the number of solutions of this function, we need to determine the number of distinct x-intercepts or roots it has.
Since the function is a cubic function with degree 3, it can have at most 3 real solutions. However, it is also possible for the function to have fewer solutions or none at all.
To find the exact number of solutions, we would need to analyze the function using calculus techniques such as graphing or factoring. However, in this case, we can observe that the function is a product of three linear factors. This means it will have at most 3 real solutions, one for each factor. Therefore, the answer is C. two solutions.