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The inverse function
Domain and sign
MCQ
What is the domain of the inverse function f(x) = 1/x, and what is the sign of f(x) when x < 0?
Possible answers
D
f
=
R
D_f = \mathbb{R}
D
f
=
R
, and
f
(
x
)
f(x)
f
(
x
)
is always positive
D
f
=
R
∖
{
0
}
D_f = \mathbb{R} \setminus \{0\}
D
f
=
R
∖
{
0
}
, and
f
(
x
)
f(x)
f
(
x
)
is negative when
x
<
0
x < 0
x
<
0
D
f
=
R
∖
{
0
}
D_f = \mathbb{R} \setminus \{0\}
D
f
=
R
∖
{
0
}
, and
f
(
x
)
f(x)
f
(
x
)
is positive when
x
<
0
x < 0
x
<
0
D
f
=
R
+
D_f = \mathbb{R}^+
D
f
=
R
+
, and
f
(
x
)
f(x)
f
(
x
)
is negative when
x
<
0
x < 0
x
<
0
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