MCQ
વિધેય $f(x) = \sqrt {{x^2} - 1} + \sqrt {{x^2} + 1} $ નો પ્રદેશ મેળવો.
- A$1 < x < \infty $
- B$ - \infty < x < \infty $
- C$ - \infty < x < - 1$
- ✓$( - \infty ,\;\infty ) - ( - 1,\;1)$
Domain of ${y_1} = \sqrt {{x^2} - 1} \, \Rightarrow \,\,{x^2} - 1 \ge 0\,\, \Rightarrow \,\,{x^2} \ge 1$
$x \in ( - \,\infty ,\,\,\infty ) - ( - 1,\,\,1)$ and Domain of ${y_2}$ is real number,
$\therefore $ Domain of $f(x) = ( - \infty ,\,\,\infty ) - ( - 1,\,\,1)$.
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