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KCET2022MathematicsFunctions

The domain of the function f(x)= 1 ₁₀(1-x) + x+2 is

Options

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

Correct answer

D. [-2,0) (0,1)

Step-by-step solution

Given, function f(x)= 1 ₁₀(1-x) + x+2 f(x) will be defined if, 1-x>0, 1 and x+2 0 or 1>x, 1-x 1 and x -2 or x < 1, x 0 and x -2 x [-2,0) (0,1)

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