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Mathematics
Mathematics
Problem
If
f
(
x
)
f(x)
f
(
x
)
is a continuous function
∀
x
∈
R
\forall x \in R
∀
x
∈
R
and
f
(
x
)
∈
(
1
,
30
)
f(x) \in (1, \sqrt{30})
f
(
x
)
∈
(
1
,
30
)
and
g
(
x
)
=
[
f
(
x
)
a
]
g(x) = \left[ \frac{f(x)}{a} \right]
g
(
x
)
=
[
a
f
(
x
)
]
, where
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function, is continuous
∀
x
∈
R
\forall x \in R
∀
x
∈
R
, then the least positive integral value of
a
a
a
is __________.
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