Final answer:
To find the value of f(-3) for the function f(x) = 4(-4 - x), substitute -3 for x and follow the order of operations to simplify. After substitution and simplification, the value of f(-3) is determined to be -4.
Step-by-step explanation:
To find the value of f(-3) given f(x) = 4(-4 - x), we need to substitute the value of -3 in place of x.
First, substitute -3 into the function:
f(-3) = 4(-4 - (-3))
Simplify the expression inside the parentheses:
f(-3) = 4(-4 + 3)
This gives us:
f(-3) = 4(-1)
Now, multiply 4 by -1 to get the final result:
f(-3) = -4