Question

Given f(x) = x² - 2, find and simplify f(x-8):

a) x² - 16
b) x² - 8x + 62
c) x² - 16x + 62
d) x² + 8x - 6

Answer 1

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).

Step-by-step 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.