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NDA2015MathematicsFunctionsActual

If g(x)= 1 f(x) and f(x)=x, x 0 , then which one of the following is correct

Options

  1. Af ( f ( f ( g ( g ( f ( x )))))))= g ( g ( f ( g ( f ( x ))))))
  2. Bf ( f ( g (3( ~g ( f ( x )))))))= g ( g ( f ( g ( f ( x ))))))
  3. Cf ( g ( f ( g ( g ( f ( g ( x ))))))= g ( g ( f ( g ( f ( x ))))))
  4. Df ( f ( f ( f ( f ( f ( x ))))))= f ( f ( f ( g ( f ( x )))))

Correct answer

B. f ( f ( g (3( ~g ( f ( x )))))))= g ( g ( f ( g ( f ( x ))))))

Step-by-step solution

aligned & f(x)=x & g(x)=1 / x aligned Putting these values in the options, only (2) is correct.

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