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Answer :
Final answer:
To find f(x-8) for the given function f(x) = x² - 2, substitute (x-8) in place of x, and then expand and simplify to get x² - 16x + 62, which is answer choice c).
Explanation:
To find f(x-8), we substitute x-8 into the function f(x) = x² - 2.
So, f(x-8) = (x-8)² - 2.
Simplifying, we get f(x-8) = x² - 16x + 62.
The student has asked to find and simplify f(x-8) given the function f(x) = x² - 2. To find f(x-8), we substitute (x-8) for x in the function, which gives us (x-8)² - 2. This simplifies to:
x² - 16x + 64 - 2 = x² - 16x + 62.
Therefore, the correct answer is c) x² - 16x + 62.
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