First slide

Functions (XII)

Question

The domain of $y = \cos^{- 1} (1 - 2 x)$ is

Moderate

A

$[- 1, 1]$
B

$[0, 1]$
C

$[- 1, 0]$
D

$[- \frac{1}{2}, \frac{1}{2}]$

Solution

The function is defined if $- 1 \leq 1 - 2 x \leq 1 \Leftrightarrow - 2 \leq - 2 x \leq 0 \Leftrightarrow 0 \leq x \leq 1 .$

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