Question

$\text{If}f\left(x\right)=2x-1,\text{then the number of positive solution(s)}\text{of the equation}|f\left(x\right)|=|f(|x|-1)|\text{is/are}$

• A. $1$
• B. $2$
• C. $4$
• D. $8$

Answer 1

The correct option is A $1$

$|f\left(x\right)|=|2x-1|\text{and}|f(|x|-1)|=|2|x|-3|\therefore |2x-1|=|2|x|-3|\text{The graph of the above equation is}|$

$\therefore \text{Only 1 postive solution.}$