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Mathematics
Problem
Let
f
(
x
)
=
x
3
−
3
x
f(x)=x^{3}-3x
f
(
x
)
=
x
3
−
3
x
. Which of the following lists all real numbers
y
y
y
for which
(
f
−
1
)
′
(
y
)
(f^{-1})'(y)
(
f
−
1
)
′
(
y
)
fails to exist? a)
{
−
1
,
1
}
\{-1,\,1\}
{
−
1
,
1
}
b)
{
−
2
,
2
}
\{-2,\,2\}
{
−
2
,
2
}
c)
{
−
2
}
\{-2\}
{
−
2
}
d)
{
0
}
\{0\}
{
0
}
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