Let f : [–1, ∞) → R be given by f (x) = (x + 1) 2 –1, x > –1 . Then f –1 (x), is :
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Let f : [–1, ∞) → R be given by f (x) = (x + 1)2 –1,
x > –1 . Then f –1 (x), is :
x > –1 . Then f –1 (x), is :
- \(-1+\sqrt{x+1}\)
- \(-1-\sqrt{x+1}\)
- does not exist because f is not one-one
- does not exist because f is not onto
Answer
(D) does not exist because f is not onto
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