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 ∈
Create a free account to view solution
View Solution FreeMore Function Questions
If f(x) = , then (fof) (π) will be-...If f : R → R is a function satisfying the property f(x + 1) + f(x + 3) = K ∀ × ∈ R then the perio...If f(x) = 2x and g is identity function, then-...If the domain of the function f(x) = be [3,7] then its range is-...Function f : [−1,1] → R, f(x) = sin (π/2) x is -...