AP EAMCET20224 Jul 2022Evening ShiftMathematicsFunctionsActual

The domain of f x = sinlog 4 - x 2 1 - x is

Options

A0 , 5
B1 , 5
C- 2 , 1
D2 , 3

Correct answer

C. - 2 , 1

Step-by-step solution

We have, f x = sinlog 4 - x 2 1 - x Domain of sin θ is R . log a x is defined for x , a > 0 and a ≠ 1 . For f x to be defined, 4 - x 2 1 - x > 0 and x ≠ 1 ⇒ 1 1 - x > 0 Since, 4 - x 2 ≥ 0   ∀ x ∈ R ⇒ 1 1 - x > 0 ⇒ x ∈ - ∞ , 1 And, - 2 , 1 ⊂ - ∞ , 1 .

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