FunctionHard
Question
If domain of f(x) is (- ∞ , 0], then domain of f(6{x}2 - 5 {x} + 1) is (where {.} represents fractional part function).
Options
A.
B.(- ∞, 0)
C.
D.none of these
Solution
f(6{x}2 - 5{x} + 1)
f((3{x} - 1) (2 {x} - 1))
(3{x} - 1) (2{x} - 1) ≤ 0
or {x} ∈
∴ x ∈
f((3{x} - 1) (2 {x} - 1))
(3{x} - 1) (2{x} - 1) ≤ 0
or {x} ∈
∴ x ∈
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