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If `f(x)=sin log((sqrt(4-x^(2)))/(1-x))`, then the domain of f(x) is …. |
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Answer» Correct Answer - (-2, 1) Given, `f(x)=sin log((sqrt(4-x^(2)))/(1-x))` For domain, `(sqrt(4-x^(2)))/(1-x) gt 0,4-x^(2) gt 0 and 1-x ne 0` `implies (1-x) gt 0 and 4-x^(2) gt 0` `implies x lt 1 and |x| lt 2 implies -2 lt x lt 1` Thus, domain `in (-2,1)`. |
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