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Is gof = fog for f = cos x, g = 3x², judged at x = 0?
AYes, they always agree
BOnly for polynomials
COnly if both are onto
DNo, gof(0) = 3, fog(0) = 1
Answer & Solution
Correct answer: D. No, gof(0) = 3, fog(0) = 1
At x = 0, gof gives 3 cos² 0 = 3 while fog gives cos 0 = 1, so the two compositions differ.
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