A) \[1\]
B) \[-1\]
C) \[\sqrt{3}\]
D) \[0\]
Correct Answer: B
Solution :
Given, \[f(x)=\left\{ \begin{matrix} -1,\,where\,\,x\,\,is\,rational \\ 1,\,when\,\,x\,is\,\,irrational\, \\ \end{matrix} \right.\] Now, \[(fof)\,(1-\sqrt{3})=f[f(1-\sqrt{3})]=f(1)=-1\]You need to login to perform this action.
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