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Q.

Let f(x)={1+|x|,x<1[x],x1 where [.] denotes the greatest integer function. Then f{f(2.3)} is equal to 

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a

4

b

2

c

-3

d

3

answer is D.

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Detailed Solution

f(2.3)=1+|2.3|=3.3

f{f(2.3)}=f(3.3)=[3.3]=3

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Let f(x)={1+|x|,x<−1[x],x≥−1 where [.] denotes the greatest integer function. Then f{f(−2.3)} is equal to