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Mathematics
Mathematics
Problem
Let
g
:
R
→
R
g:\mathbb R \to \mathbb R
g
:
R
→
R
be given by
g
(
x
)
=
a
x
3
+
3
x
g(x)=ax^{3}+3x
g
(
x
)
=
a
x
3
+
3
x
, where
a
∈
R
a\in\mathbb R
a
∈
R
. The function
g
g
g
is one–one on
R
\mathbb R
R
when a)
a
≠
0
a\neq 0
a
=
0
b) for all real
a
a
a
c)
a
≥
0
a\ge 0
a
≥
0
d)
a
>
0
a>0
a
>
0
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