Let f : ℝ ℝ and g : ℝ ℝ be two functions defined by f(x) = _ e (x^ 2 + 1) - e^ -x + 1 and g(x) = (1 - 2e^ 2x...

Question

Let f : ℝ ℝ and g : ℝ ℝ be two functions defined by f(x) = _ e (x^ 2 + 1) - e^ -x + 1 and g(x) = (1 - 2e^ 2x )/e^ x . Then, for which of the following range of , the inequality f (g ( ( -1)^2 3 ) ) > f (g ( - 53 ) ) holds ?

Accepted Answer

(1)

JEE Main 2022 Mathematics question

Solution

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