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Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeMedium2 minQB

MathematicsMediummultiple choice

Which of the following statements are true for the function $f (x) = sin lo g (\frac{x ^{2} + e}{x ^{2} + 1}) + cos lo g (\frac{x ^{2} + e}{x ^{2} + 1})$

Options:(select one or more)

Answer:

A, B, C

Solution:

Domain $\in R$ $Range of \frac{x ^{2} + e}{x ^{2} + 1} \in (1, e] \Rightarrow range of lo g (\frac{x ^{2} + e}{x ^{2} + 1}) \in (0, 1]$ Many one function hence not invertible

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: QB

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