Question

Perform the indicated operation.
f(x) = 3x - 1
g(x)= x2 – 2x
Find (f - 3)(-4).

Answer 1

To calculate (f - 3)(-4), you find the value of f(-4) which is f(x) = 3x - 1 at x = -4 resulting in -13, and then subtract 3 to get -16.

Step-by-step explanation:

To find (f - 3)(-4), we first need to determine the function f(x) and then apply the transformation which subtracts 3 from the value of f(x). Given that f(x) = 3x - 1, we calculate f(-4) and then subtract 3.

Here is the step-by-step calculation:

1. Calculate f(-4) by substituting x with -4: f(-4) = 3(-4) - 1 = -12 - 1 = -13.
2. Subtract 3 from f(-4): (f(-4) - 3) = (-13 - 3) = -16.

Therefore, the result of (f - 3)(-4) is -16.