Domain of the function f(x) ,= ,1 (x + 1)( e^x - 1)(x - 4)(x + 5)… - Vidyadip

MCQ

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

✓

Answer

Correct option: C.

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

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

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

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

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