CAT 2022 Set-3 | Quantitative Aptitude | Question: 8

Question

Let $r$ be a real number and $f(x)=\left\{\begin{array}{cl}2 x-r & \text { if } x \geq r \\ r & \text { if } x<r\end{array}\right.$. Then, the equation $f(x)=f(f(x))$ holds for all real values of $x$ where

• A. $x \leq r$
• B. $x>r$
• C. $x \geq r$
• D. $x \neq r$

Answer 1

Ans is A.