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Show that f(x) = (x - 2)/(x+1) is increasing for all x ∈ R, except at x = -1. |
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Answer» Consider f(x) = (x - 2)/(x+1), f'(x) = 3/(x+1)2 f’(x) at x = -1 is not defined and for all x ∈ R - {-1} f’(x)>0 hence f(x) is increasing. |
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