Final answer:
To find f(x + 4) for the function f(x) = - 2x + 8, you substitute (x + 4) for x in the function and simplify, which results in f(x + 4) = -2x.
Step-by-step explanation:
To find f(x + 4) given the function f(x) = - 2x + 8, you substitute x + 4 into the function for every instance of x and then simplify.
Steps to Find f(x + 4)
- Start with the original function: f(x) = -2x + 8.
- Replace x with x + 4: f(x + 4) = -2(x + 4) + 8.
- Distribute the -2: f(x + 4) = -2x - 8 + 8.
- Simplify the equation: f(x + 4) = -2x.
Therefore, f(x + 4) = -2x.