Domain of the function is Find the value of a.

JEE MainMathematicsModerateITF

Domain of the function
$f(x) = \frac{1}{x} + 2^{(\sin^{- 1}x + \cos^{- 1}x)} + \frac{1}{\sqrt{4 - x^{2}}}$
is $x \in \lbrack - a,a\rbrack - \{ 0\}$ Find the value of a.

Show answer and solution

x \neq 0\ and - 1 \leq x \leq 1\ and\ 4 - x^{2} > 0

\Rightarrow (x + 2)(x - 2) < 0

- 2 < x < 2

x \in \lbrack - 1,1\rbrack - \{ 0\}

Source: Grass-G / M-17 Mathematics Paper 26 Nov Second.docx

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