if f ( x ) is a polynomial function such that ∣ f ( x ) ∣ ≤ 1∀ x ∈ R and g ( x ) = e f ( x ) + e ∣ f ( x ) ∣ e f ( x ) − e ∣ f ( x ) ∣ , then the range of g ( x ) is

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if f ( x ) is a polynomial function such that ∣ f ( x ) ∣ ≤ 1∀ x ∈ R and g ( x ) = e f ( x ) + e ∣ f ( x ) ∣ e f ( x ) − e ∣ f ( x ) ∣ ​ , then the range of g ( x ) is

TestHub · Accepted Answer

For 0 ≤ f ( x ) < 1 g ( x ) = 0 For − 1 < f ( x ) < 0 g ( x ) = e 2 f ( x ) + 1 e 2 f ( x ) − 1 ​ ⇒ g ( x ) ∈ [ 1 + e 2 1 − e 2 ​ , 0 ) ∴ range of g ( x ) = [ 1 + e 2 1 − e 2 ​ , 0 ]

Mathematics - Functions Question with Solution | TestHub

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