Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeHard3 minQB

MathematicsHardsingle choice

Let $f (x) = cos^{- 1} (⌊ e^{x} ⌋ - 1) + sin^{- 1} (⌊ e^{x} ⌋)$ . Classify $f$ .

Answer:

Solution:

The domains allow $⌊ e^{x} ⌋ = 0$ or 1, and both give $π /2$ . Thus $f$ is many-one with singleton range.

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 3mℹ️ Source: QB

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