First slide

Functions (XII)

Question

The set of all x for which $f (x) = \log_{\frac{x - 2}{x + 3}} 2$ and $g (x) = \frac{1}{\sqrt{x^{2} - 9}}$ are both not defined is

Moderate

A

(– 3, 2)
B

[– 3, 2)
C

(– 3, 2]
D

[–3, 2]

Solution

The function f is not defined for $- 3 \leq x \leq 2$ and g is not defined for those x for which $x^{2} - 9 \leq 0$ i.e., $x \in [- 3, 3]$ . Thus f and g are not defined on $[- 3, 2] .$

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