Alvin L.

asked • 03/12/21

The domain of h(x)=f(x)/g(x) is x≠2, x≠1. Which of the following are possible? Select all that apply. g contains the factor (x−2) f contains the factor (x−2) g(2)=0 g(−1)=0

Sean M.

a, b, and c are possible. The domain is a possible x values. that means you can't get an answer if you plug in 2 or 1. what can cause that? a demonimator that's zero or a negative square root. g containing x-2 would make sense (plug in 2 and you get 0). it doesn't matter what f is (as long as it's not a square root of a negative), so that's possible there. plugging in 2 into g should make the denominator 0, so g(2)=0 also makes sense. plugging in -1 to the denominator (g(x)) giving you a zero means that x/=-1. The question says 1, not -1. The only bad choice is d. All others are good
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03/18/21

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