The inverse of the function y= [1-(x-3)^ 4 ]^ 1 / 7 is (Assume that y is bijective)
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
The inverse of the function \(y=\left[1-(x-3)^{4}\right]^{1 / 7}\) is (Assume that y is bijective)
- \(3+\left(1-x^{7}\right)^{1 / 4}\)
- \(3-\left(1-x^{7}\right)^{1 / 4}\)
- \(3-\left(1+x^{7}\right)^{1 / 4}\)
- none of these
Answer
(A) 3+ (1-x^ 7 )^ 1 / 4
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