Question

f (x)=
$\sqrt{x {}^{2 } + a} \times \sqrt{x {}^{2} - a }$
For what values of 'a' will the domain of f be R?

Answer 1

The f(x) will be R, if a lies between [- x² to x²]

Thus the required domain will be,

$= > \bf \: ( - {x}^{2}, 0)U(0, {x)}^{2}$

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