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Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions1 Mark
Question
Find the range of the following functions given by:
$\text{f(x)}=1+3\cos2\text{x}$
✓

Answer

We knoe that, $-1\leq\cos2\text{x}\leq1$
$\Rightarrow-3\leq3\cos2\text{x}\leq3$
$\Rightarrow-2\leq1+3\cos2\text{x}\leq4$
$\Rightarrow-2\leq\text{f(x)}\leq4$
$\therefore $ Range of $\text{f}=[-2, 4]$

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