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The value of ( 0) for which the function f(x)=1+ x is the inverse of itself is

Options

  1. A-2
  2. B2
  3. C-1
  4. D1

Correct answer

C. -1

Step-by-step solution

Let y=1+ x [f(x)=y] array ll & x= y-1 & f⁻¹(x)= x-1 array It is given that, f(x)=f⁻¹(x) aligned & 1+ x= x-1 & + ² x=x-1 aligned On compare the coefficients, we get array ll & ²=1 and =-1 & =-1 array

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