Let f : R → R be a function such that f ( x ) = (x^2 +2x +1)/(x^2+ 1 ). Then which is true :-

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Let f : R → R be a function such that f ( x ) = (x^2 +2x +1)/(x^2+ 1 ). Then which is true :-

(1) f(x) is many-one in (–∞, -1) (2) f(x) is many-one in (1, ∞) (3) f(x) is one-one in [1, ∞) but not in (–∞, ∞) (4) f(x) is one-one in (–∞, ∞)
  1. MatheMusic
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That's the real answer of this question 😢 many people explains this on basis of graph but how we are to assume the graph is taught here, thanks🎉

dillipbaliarsingh