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TS EAMCET · Maths · Functions

Let fx=(x+1)2-1, x-1. Then xfx=f-1x=

  1. A {0,1,-1}
  2. B -1,-3+i32,-3-i32
  3. C {0,-1}
  4. D ϕ
Verified Solution

Answer & Solution

Correct Answer

(C) {0,-1}

Step-by-step Solution

Detailed explanation

f(x)=(x+1)2-1, x=-1 Now f-1(x)=x+1-1 and it is given that (x+1)2-1=x+1-1 ⇒(x+1)2=x+1 ⇒(x+1)4=(x+1) x+1 x+13-1=0 So x=-1 and x3+3x2+3x=0 ⇒xx2+3x+3=0 Now x=0 and x=-3±9-122 x=-3±3i2 So x=-1, 0, -3+3i2, -3-3i2 but x≥-1 So…