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AIEEE 2002

JEE Main 2002 Mathematics question on Sets Relations and Functions

Suppose f(x)=(x+1)2f(x) = (x+1)^2 for x≥−1x \geq -1. If g(x)g(x) is the function whose graph is reflection of the graph of f(x)f(x) with respect to the line y=xy = x, then g(x)g(x) equals
  1. A.
    −x−1, x≥0-\sqrt{x} - 1, \ x \geq 0
  2. B.
    1(x+1)2, x>−1\dfrac{1}{(x+1)^2}, \ x > -1
  3. C.
    x+1, x≥−1\sqrt{x+1}, \ x \geq -1
  4. D.
    x−1, x≥0\sqrt{x} - 1, \ x \geq 0
Show answer

Correct option: D

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