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AP EAMCET · Maths · Functions

Let fx=x+22-2, x-2. Then f-1x=

  1. A -2+x-2
  2. B 2+x+2
  3. C 2+x-2
  4. D -2+x+2
Verified Solution

Answer & Solution

Correct Answer

(C) 2+x-2

Step-by-step Solution

Detailed explanation

Let fx=x+22-2,x≥-2. Putting y=x+22-2 y=x2+4x+4-2 y=x2+4x+2 x2+4x+2-y=0 a=1, b=4, c=2-y x=-4±42-4×1×2-y2×1 x=-4±16-8+4y2×1 Then, x=-2+2+y, x≥-2 Hence, f-1x=2+x-2