Let f: R R be defined by f(x)= x^ 2 -3 x-6 x^ 2 +2 x+4 Then which of the following…

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be defined by
\[f(x)=\frac{x^{2}-3 x-6}{x^{2}+2 x+4}\]
Then which of the following statements is (are) TRUE?
  1. f is decreasing in the interval (–2, –1)
  2. f is increasing in the interval (1, 2)
  3. f is onto
  4. Range of f is

Answer

(D) Range of f is

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