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The domain of the function f(x)= (1-x)+ x²-1

Options

  1. A(- ,-1)
  2. B(- ,-1]
  3. C(- , 2]
  4. D(- , 0)

Correct answer

B. (- ,-1]

Step-by-step solution

We have, f(x)= (1-x)+ x²-1 (1-x) is defined if 1-x>0 x < 1 x (- ,-1) ...(i) and x²-1 is defined if x²-1 0 array ll & x² 1 & x 1 or x -1 ...(ii) array By Eqs. (i) and (ii), required domain is (- ,-1] .

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