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TS EAMCET · Maths · Functions

If \(f(x)=x^2-2 x+4\), then the set of values of \(x\) satisfying \(f(x-1)=f(x+1)\) is

  1. A \(\{-1\}\)
  2. B \(\{-1,1\}\)
  3. C \(\{1\}\)
  4. D \(\{1,2\}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\{1\}\)

Step-by-step Solution

Detailed explanation

Given, \(f(x)=x^2-2 x+4\) Now, \(f(x-1)=f(x+1)\)…