First slide

Functions (XII)

Question

Domain of $\sqrt{x (1 - e^{x}) (x + 2) {(x - 3)}^{2}}$

Moderate

A

$[- 2, 3]$
B

$(- 2, 0]$
C

$(- \infty, - 2] \cup \{0, 3\}$
D

$(- \infty, - 2) \cup [0, 3]$

Solution

$f (x) \geq 0$
x $(e^{x} - 1)$ (x+2) ${(x - 3)}^{2}$ $\geq 0$ $\Rightarrow (x + 2) \leq 0$

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