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KCET2007MathematicsFunctions

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

Options

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

Correct answer

C. the function f⁻¹(x) does not exist

Step-by-step solution

We have, f(x)=|x| f(x)= cases x, & if x 0 -x, & if x 0 cases So, the function f⁻¹(x) does not exist.

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