FunctionHard
Question
Let f(x) = 
- {x}, the range of f(x) is given by (where {.} represents fractional part of x)
- {x}, the range of f(x) is given by (where {.} represents fractional part of x)Options
A.[√2 - 1, √2 + 1]
B.(-∞, - √2 - 1)
C.(√2 + 1, ∞)
D.[√2 - 1, ∞]
Solution
f(x) = 
+ 1 - {x} - 1 = 
+ {- x} - 1
≥ √2 - 1 (Using A.M. ≥ G.M.)
Range of f(x) is [√2 - 1, ∞]
+ 1 - {x} - 1 = + {- x} - 1≥ √2 - 1 (Using A.M. ≥ G.M.)
Range of f(x) is [√2 - 1, ∞]
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