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Question

Let f(x)={1+x,0x23x,2<x3 then f{f(x)}=


Correct Answer
A
2+x,0x12x,1<x24x,2<x3
Your Answer
B
{2+x,0x24x,2<x3
Your Answer
C
{2+x,0x22x,2<x3
Your Answer
D
none of these

Solution

The correct option is D 2+x,0x12x,1<x24x,2<x3
f(x)={1+x,0x23x,2<x3f{f(x)}={1+f(x),0f(x)23f(x),2<f(x)3=⎪ ⎪ ⎪ ⎪⎪ ⎪ ⎪ ⎪1+(1+x),01+x2  &  0x23(1+x),2<1+x3  &  0x21+(3x),03x2  &  2<x33(3x),2<3x3  &  2<x3=2+x,0x12x,1<x24x,2<x3
 

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