Let f(x)=(x+1)^ 2 -1, x -1, then the set x/f(x)=f^ -1 (x) is

MHT CET 2024 Mathematics question

Let , then the set is

(A)
(B)Correct
(C), where
(D)

Answer: (B)

Solution

On , is strictly increasing with range , so exists, . For an increasing function the graphs of and can intersect only on the line , so . Then 1)^{2}$-1=x⇒

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Question ID VK-098980