A) 8
B) 1
C) 4
D) 5
Correct Answer: B
Solution :
\[f(x)=x+2\] \[\Rightarrow \] \[f\{f(x)\}=f(x+2)\] \[=(x+2)+2\] \[\Rightarrow \] \[f(f(x))=x+4\] \[\Rightarrow \] \[f'(f(x))\times f'(x)=1\] \[\Rightarrow \] \[f'(f(x))=1\] \[(\because f'(x)=1)\]
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