The inverse of the function y= [1-(x-3)^ 4 ]^ 1 / 7 is (Assume that y is bijective)

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

The inverse of the function \(y=\left[1-(x-3)^{4}\right]^{1 / 7}\) is (Assume that y is bijective)
  1. \(3+\left(1-x^{7}\right)^{1 / 4}\)
  2. \(3-\left(1-x^{7}\right)^{1 / 4}\)
  3. \(3-\left(1+x^{7}\right)^{1 / 4}\)
  4. none of these

Answer

(A) 3+ (1-x^ 7 )^ 1 / 4

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