Final answer:
To find the x-values of -3 and 3 for the given functions, substitute the values into each function and solve for x.
Step-by-step explanation:
To determine the x-values of -3 and 3 for the given functions f(x) = 2(x - 1)2-5 and g(x) = - 2x + 1, we need to substitute these values into each function and solve for x.
For f(x) = 2(x - 1)2-5, when x = -3, we have f(-3) = 2(-3 - 1)2-5 = 2(-4)2-5 = 2(16)-5 = 32-5 = 27. So, x = -3 is a solution for f(x).
Similarly, for g(x) = - 2x + 1, when x = 3, we have g(3) = -2(3) + 1 = -6 + 1 = -5. So, x = 3 is a solution for g(x).
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