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If f :   R ⟶ R be a function defined as f x = 1 5 x - 1 5 x 1 5 x + 1 5 x , then the correct option about f is:

Options

  1. AOne-one onto function
  2. BOne-one into function
  3. CMany-one onto function
  4. DMany-one into function

Correct answer

D. Many-one into function

Step-by-step solution

f x = 0 , f o r     x ≥ 0 1 5 2 x - 1 1 5 2 x + 1 , f o r     x < 0 ∴   f x = 1 - 2 1 5 2 x + 1 for all x < 0

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