Question

Find the domain of the function(fx)=1/sqrt(1-x)(x-2)
$f(x) = 1 \div \sqrt{(1 - x)(x - 2)}$
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Answer 1

EXPLANATION.

Domain of the function.

⇒ f(x) = 1/[√(1 - x)(x - 2)].

As we know that,

Apply conditions of both in this equation, we get.

Conditions of roots.

The equation is written like this,

⇒ √(Aman) = Aman > 0. - - - - - (1).

Conditions of Denominator.

The equation is written like this,

⇒ 1/(sharma) = sharma ≠ 0. - - - - - (2).

Using both conditions we can write as,

⇒ Aman sharma > 0. - - - - - (3).

Applying this equation in this question, we get.

⇒ (1 - x)(x - 2) > 0.

⇒ (x - 1)(x - 2) < 0.

Put this point on wavy curve method, we get.

⇒ x ∈ (1, 2).