A) 0
B) 25
C) 50
D) 100
Correct Answer: D
Solution :
\[f(x)={{(3-{{x}^{7}})}^{1/7}}\] |
\[f(f(x))={{(3-{{(f(x))}^{7}})}^{1/7}}={{[3-{{({{(3-{{x}^{7}})}^{1/7}})}^{7}}]}^{1/7}}=x\] |
\[{{f}^{-1}}(x)=f(x)\] |
\[\therefore {{f}^{-\,1}}(50)=f(50)\,\,\,and\,\,\,f(f(100))=100\] |
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