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Find f(x + 4) if f(x)= - 2x + 8?

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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)

  1. Start with the original function: f(x) = -2x + 8.
  2. Replace x with x + 4: f(x + 4) = -2(x + 4) + 8.
  3. Distribute the -2: f(x + 4) = -2x - 8 + 8.
  4. Simplify the equation: f(x + 4) = -2x.

Therefore, f(x + 4) = -2x.

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