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Let f( x ): cases x , & x is rational 0, & x is irrational cases and g ( x ): cases 0, & x is rational x , & x is irrational cases If f: R R and g : R R , then (f- g ) is

Options

  1. Aone-one and into
  2. Bneither one-one nor onto
  3. Cmany-one and onto
  4. Done-one and onto

Correct answer

D. one-one and onto

Step-by-step solution

(f-g)(x)= array c x-0=x, x is rational 0-x=-x, x is irrational array . Clearly, f - g is one - one and onto.

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