Let f: ℝ → ℝ be a function defined by f(x) = log_√m(√2(sin x - co… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 25 January, Shift 2Functions

Let $f: \mathbb{R} \to \mathbb{R}$ be a function defined by $f(x) = \log_{\sqrt{m}}{\left(\sqrt{2}(\sin x - \cos x) + m - 2\right)}$ , for some $m$ , such that the range of $f$ is $[0, 2]$ . Then the value of $m$ is:

A
$5$
B
$3$
C
$2$
D
$4$

Answer & step-by-step solution

Practice more Functions questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Functions

Answer & step-by-step solution

Practice more Functions questions

Related questions