Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeMedium2 minPYQ_2024

MathematicsMediumsingle choice

Let $f (x) = \frac{1}{7 - s i n 5 x}$ be a function defined on $R$ . Then the range of the function $f (x)$ is equal to ;

Answer:

Solution:

$sin 5 x \in [- 1, 1] - sin 5 x \in [- 1, 1] 7 - sin 5 x \in [6, 8] \frac{1}{7 - sin 5 x} \in [\frac{1}{8}, \frac{1}{6}]$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: PYQ_2024

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