. Let f: R → R be the function defined by f(x) = 1/(2 – cos x) ∀ x ∈ R. Then, find the range of f.

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Harshit Singh · Answer

Dear Student Given, f(x) = 1/(2&ndash;cos x)&forall;x&isin;R Let y = 1/(2&ndash;cos x) 2y&ndash;ycos x = 1 cos x = (2y - 1)/ y cos x = 2&ndash;1/y Now, we know that -1 &le; cos x &le; 1So, -1 &le; 2 &ndash; 1/y &le; 1 1 &le; &ndash; 1/y &le; 3 1/3 &le; y &le; 1 Thus, the range of the given function is [1/3, 1]. Thanks

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. Let f: R → R be the function defined by f(x) = 1/(2 – cos x) ∀ x ∈ R. Then, find the range of f.

. Let f: R → R be the function defined by f(x) = 1/(2 – cos x) ∀ x ∈ R. Then, find the range of f.

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