Let f : R → R, g : R → R be two functions given by f (x) = 2x – 3, g (x) = x 3 + 5 . Then…

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

Let f : R → R, g : R → R be two functions given by
f (x) = 2x – 3, g(x) = x3 + 5 . Then ( f og)–1 (x) is equal to :
  1. \(\left(\frac{x-7}{2}\right)^{1 / 3}\)
  2. \(\left(\frac{x+7}{2}\right)^{1 / 2}\)
  3. \(\left(x-\frac{7}{2}\right)^{1 / 3}\)
  4. \(\left(\frac{x-2}{7}\right)^{1 / 3}\)

Answer

(A) ( x-7 2 )^ 1 / 3

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