Question

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

• A. $[-1,1]$
• B. $[0,1]$
• C. $[-1,0]$
• D. $\left[-\frac{1}{2},\frac{1}{2}\right]$

Answer 1

Answer: (B)

The function is defined if $-1\le 1-2x\le 1$
$\iff$ $-2\le -2x\le 0$
$\iff 0\le x\le 1.$