If g(x)=1/{f(x)} and f(x)=x,x\neq0,then which of the following is correct [NDA II 2015]

Correct Answer is : f(f(g(g(g(f(x))))))=g(g(f(g(f(x)))))

f(f(f(g(g((x))))))=g(g(f(g(f(x)))))

f(f(g(g(g(f(x))))))=g(g(f(g(f(x)))))

f(g(f(g(g(f(g(x)))))))=g(g(f(g(f(x)))))

f(f(f(g(g(f(x))))))=f(f(f(g(f(x)))))

UPSC NDA II 2015 Mathematics Solved Paper

Question : 23 of 120

Marks: +1, -0

If g(x)=

f(x)

and f(x)=x,x≠0,then which of the following is correct

[NDA II 2015]

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