MCQ
$f(x)=\frac{\log _{(x+1)}(x-2)}{e^{2 \log _e x}-(2 x+3)}, x \in R$ નો પ્રદેશ $...........$ છે.
- A$R -\{1-3\}$
- ✓$(2, \infty)-\{3\}$
- C$(-1, \infty)-\{3\}$
- D$R -\{3\}$
$x+1 > 0 \Rightarrow x > -1$
$x+1 \neq 1 \Rightarrow x \neq 0 \text { and } x > 0$
Denominator
$x^2-2 x-3 \neq 0$
$(x-3)(x+1) \neq 0$
$x \neq-1,3$
So Ans $(2, \infty)-\{3\}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.