The values of x for which f(x) = -16 are -16 and 8.
To find the values of x for which f(x) = -16, we need to evaluate the function f(x) for each given value of x and check if it equals -16.
Let's consider each value of x:
1. For x = -16:
Substituting x = -16 into the function f(x), we get:
f(-16) = -16
Since f(-16) is equal to -16, this value of x satisfies the equation f(x) = -16.
2. For x = 12:
Substituting x = 12 into the function f(x), we get:
f(12) = -3(12) + 8
f(12) = -36 + 8
f(12) = -28
Since f(12) is not equal to -16, this value of x does not satisfy the equation f(x) = -16.
3. For x = 0:
Substituting x = 0 into the function f(x), we get:
f(0) = -3(0) + 8
f(0) = 0 + 8
f(0) = 8
Since f(0) is not equal to -16, this value of x does not satisfy the equation f(x) = -16.
4. For x = 8:
Substituting x = 8 into the function f(x), we get:
f(8) = -3(8) + 8
f(8) = -24 + 8
f(8) = -16
Since f(8) is equal to -16, this value of x satisfies the equation f(x) = -16.