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AP EAMCET2003MathematicsFunctions

If f: R R and g: R R are given by f(x)=|x| and g(x)=[x] for each x R , then x R: g(f(x)) f(g(x)) is equal to

Options

  1. AZ (- , 0)
  2. B(- , 0)
  3. CZ
  4. DR

Correct answer

D. R

Step-by-step solution

We have, f(x)=|x| and g(x)=[x] Now, g(f(x)) f(g(x)) g(|x|) f([x]) [|x|] |[x]| x R

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