First slide

Functions (XII)

Question

The domain of f(x)=log ( $\sqrt{x - 4}$ + $\sqrt{6 - x}$ )

Moderate

A

[-4, $\infty$ )
B

(- $\infty, 6]$
C

[4,6]
D

none of these

Solution

For domain of f(x)=log ( $\sqrt{x - 4}$ + $\sqrt{6 - x}$ )
$x - 4 \geq 0 a n d 6 - x \geq 0 \Rightarrow x \geq 4 a n d x \leq 6 ∴ x \in [4, 6]$

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