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\lt r\end{array}\right.. Then, the equation f(x)=f(f(x)) holds for all real values of x where

← CAT 2022 Slot 3 QA

CAT 2022 Slot 3 QA · Question 6

Let $r$ be a real number and $f (x) = {2 x - r r if x \geq r if x < r$ . Then, the equation $f (x) = f (f (x))$ holds for all real values of $x$ where

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

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