First slide

Functions (XII)

Question

The domain of the function
$f (x) = \frac{\sin^{- 1} (x - 3)}{\sqrt{9 - x^{2}}}$

Moderate

A

[1, 2]
B

[2, 3]
C

[1, 3]
D

[1, 4]

Solution

$x^{2} < 9 \Rightarrow - 3 < x < 3$
and $- 1 \leq x - 3 \leq 1 \Rightarrow 2 \leq x < 3$

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