Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeMedium2 minQB

MathematicsMediumsingle choice

Let $f (x) = [x] cos (\frac{π}{[ x + 2 ]})$ where, [ ] denotes the greatest integer function. Then, the domain of f is

Answer:

Solution:

$[x + 2] \neq = 0$

$[x] + 2 \neq = 0 [x] \neq = - 2$

x should not belong to $[- 2, - 1)$

Domain of f is $(- \infty, - 2) \cup [- 1, \infty)$ .

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: QB

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