Final answer:
The value of the given polynomial function at x = -1 is 0.
Step-by-step explanation:
The given expression is a polynomial function. To evaluate the function, we simply substitute the value of -1 for x and simplify.
First, we substitute x = -1 into the expression:
-3(-1)^(4)-6(-1)²+9
Next, we simplify each term:
-3(-1)^(4) = -3(1) = -3
-6(-1)² = -6(1) = -6
9 (no variable, so it remains the same)
Finally, we add up the terms:
-3 + -6 + 9 = 0
Therefore, the value of the given polynomial function at x = -1 is 0.