Final answer:
To evaluate f(x) = x4 + 3 for f(-6), simply replace x with -6 and compute the result. The answer is f(-6) = 1299.
Step-by-step explanation:
To evaluate the function f(x) = x4 + 3 at f(-6), you essentially replace 'x' with '-6' in the function and perform the calculation. Therefore, we calculate (-6)4 + 3. Since raising a negative number to an even power results in a positive number, (-6)4 is 1296. Adding 3 to 1296, we get f(-6) = 1299.