Question

find the domin of the function

Answer 1

$\huge{ \mathtt{ \fbox{Solution :)}}}$

Given ,

The function f(x) is $\mathtt{ \frac{ \sqrt{x - 1} }{ \sqrt{4 - {(x)}^{2} } } }$

For domain , f(x) must be real number , so

$\sf \hookrightarrow 4 - {(x)}^{2} > 0 \\ \\ \sf \hookrightarrow </p><p>- {(x)}^{2} > - 4 \\ \\ \sf \hookrightarrow </p><p> {(x)}^{2} < 4 \\ \\ \sf \hookrightarrow </p><p>x < 4$

Hence , the domain of the function is (-infinity , 4)

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