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Mathematics
Problem
The function
f
:
R
→
R
f:\mathbb R\to\mathbb R
f
:
R
→
R
is given by
f
(
x
)
=
c
x
3
+
2
c
f(x)=c x^{3}+2c
f
(
x
)
=
c
x
3
+
2
c
, where
c
∈
R
c\in\mathbb R
c
∈
R
. Explain for which real values of
c
c
c
the function has an inverse.
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