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Mathematics
Mathematics
Problem
If
f
:
R
→
R
f: \mathbb{R} \to \mathbb{R}
f
:
R
→
R
and
f
(
x
)
=
sin
(
π
{
x
}
)
x
4
+
3
x
2
+
7
f(x) = \frac{\sin(\pi\{x\})}{x^4 + 3x^2 + 7}
f
(
x
)
=
x
4
+
3
x
2
+
7
s
i
n
(
π
{
x
})
, where
{
x
}
\{x\}
{
x
}
is the fractional part of
x
x
x
, then a.
f
f
f
is injective b.
f
f
f
is not one-one and non-constant c.
f
f
f
is a surjective d.
f
f
f
is a zero function
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