1.Relation and Function
normal

Domain of the function $f(x)\,=\,\frac{1}{{\sqrt {(x + 1)({e^x} - 1)(x - 4)(x + 5)(x - 6)} }}$

A

$( - \infty , - 5) \cup ( - 1,4) \cup (6,8)$

B

$( - \infty , - 5) \cup ( - 1,0) \cup (0,4) \cup (6,\infty )$

C

$( - 5, - 1) \cup (0,4) \cup (6,\infty )$

D

$( - \infty , - 5) \cup ( - 1,4) \cup [6,\infty )$

Solution

$(x+1)\left(e^{x}-1\right)(x-4)(x+5)(x-6)>0$

$\mathrm{CP}^{\prime}$ $s$ are $\{-1,0,4,-5,6\}$

$\mathrm{x} \in(-5,-1) \cup(0,4) \cup(6, \infty)$

Standard 12
Mathematics

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