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COMEDK2020MathematicsFunctions

If f: R R is defined by f(x)=|x| , then

Options

  1. Af⁻¹(x)= 1 |x|
  2. Bf⁻¹(x)=-x
  3. Cf⁻¹(x)= 1 x
  4. DThe function f⁻¹(x) does not exist.

Correct answer

D. The function f⁻¹(x) does not exist.

Step-by-step solution

Since, f(x)=|x| is neither one-one nor onto, 30 f(x) is not invertible. f⁻¹(x) does not exist.

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