Let f:R be a function defined by f(x) = log m 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 _ _ _ _ _

Sets, Relations and Functions: JEE Main 2023 Mathematics question

JEE Main 2023 · 25 Jan, Evening shift · Q3875

JEE Main 202325 Jan, Evening shiftMathematicsEasySets, Relations and Functions168× since 2002

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 _________