Let f: \mathbb{R} \to \mathbb{R} be a function defined by f(x)= \log _{\sqrt{m}}\{\sqrt{2}( \sin x-\cos x)+m-2\}, for some m, such that the range of {\f} is [0,2]. Then the value of {\m} is _______ [25-Jan-2023 Shift 2]

Functions Part 1

Section: Mathematics

Question : 6 of 100

Marks: +1, -0

Let f:ℝ→ℝ be a function defined by f(x)= log√m{√2(sin‌x−cos‌x)+m−2}, for some m, such that the range of f is [0,2]. Then the value of m is _______

[25-Jan-2023 Shift 2]

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