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The domain of definition of the function y = 3 e x 2 - 1 log ⁡ x - 1 is

Options

  1. A1 , ∞
  2. B1 , ∞
  3. CR - 1
  4. D( - ∞ , - 1 ) ∪ ( 1 , ∞ )

Correct answer

A. 1 , ∞

Step-by-step solution

x 2 - 1 ≥ 0 ⇒ x 2 ≥ 1 ⇒ x ∈ - ∞​ , - 1 ∪ 1 , ∞ … … . ( 1 ) and x - 1 > 0 ⇒ x > 1 ⇒ x ∈ 1 , ∞ … … 2 From 1 and 2 x ∈ ( 1 , ∞ )

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