If f : R → R is defined as f ( x ) = x - [ x ] + 3 , ∀ x ∈ R , then f is

Question

If f : R → R is defined as f ( x ) = x - [ x ] + 3 , ∀ x ∈ R , then f is, not a function, a periodic function with period π, a periodic function with period 1, an invertible function

MARKS App · Accepted Answer

f : R → R f ( x ) = x - [ x ] + 3 ⇒ f ( x ) = { x } + 3 { x } is periodic with period So, f ( x ) is periodic with period 1 .

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