1.

If `f(x)=sin log((sqrt(4-x^(2)))/(1-x))`, then the domain of f(x) is ….

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)`.


Discussion

No Comment Found