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

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Solution

The correct option is B

$[x + 2] \neq 0 [x] + 2 \neq 0 [x] \neq - 2 x should not belong to [- 2, - 1) Domain of f is (\infty, - 2) \cup [- 1, \infty) .$

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Letf(x)=[x]cos(π[x+2])where denotes the greatest integer function. Then, the domain of f is

The correct option is B [x+2]≠0[x]+2 ≠0[x]≠−2x should not belong to [−2,−1)Domain of f is ( ∞,−2)∪[−1,∞).

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

The correct option is B

$[x + 2] \neq 0 [x] + 2 \neq 0 [x] \neq - 2 x should not belong to [- 2, - 1) Domain of f is (\infty, - 2) \cup [- 1, \infty) .$