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BITSAT2014MathematicsFunctionsActual

Let f : R R be a function defined by f(x)= x-m x-n , where m n, then

Options

  1. Af is one-one onto
  2. Bf is one-one into
  3. Cf is many-one onto
  4. Dfis many-one into

Correct answer

B. f is one-one into

Step-by-step solution

Let f: R R be a function defined by f(x)= x-m x-n For any ( x , y ) R Let f ( x )= f ( y ) x-m x-n = y-m y-n x=y f is one - one Let R such that f ( x )= = x-m x-n (x-n) =x-m x -n =x-m x -x=n -m x( -1)=n -m x = n - m -1 for =1, x R So, f is not onto.

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