If f : R → R is defined by f(x) = \\begin{array}{cc}\x - 3 & \for \x\geq2\\{x-| x|\end{array}, \for -2

TS ICET 2017 Question Paper with Solutions for online practice

Question : 114 of 200

Marks: +1, -0

If f : R → R is defined by
f(x) =

\{\table \x - 3, \for \x≥2;{x-| x| }, \for -2 < x < 2;1-x,\for x ≤ 2

then

\f(\f(5/2))

Solution:

f(\;\;{5}/{2})={5}/{2}-3=-{1}/{2}

f(-{1}/{2})=-{1}/{2}-{|-{1}/{2}|}=-{1}/{2}-{1}/{2}=-1

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