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AP EAMCET2007MathematicsFunctions

If f: R R and g: R R are defined by f(x)=x-[x] and g(x)=[x] for x R , where [x] is the greatest integer not exceeding x , then for every x R, f(g(x)) is equal to

Options

  1. Ax
  2. B0
  3. Cf(x)
  4. Dg(x)

Correct answer

B. 0

Step-by-step solution

Given, f(x)=x-[x], g(x)=[x] for x R . aligned f(g(x)) & =f([x]) & =[x]-[x] & =0 aligned

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