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Mathematics
Problem
If
f
:
R
→
R
f: R \to R
f
:
R
→
R
is defined by
f
(
x
)
=
∣
x
∣
f(x) = |x|
f
(
x
)
=
∣
x
∣
, then (a)
f
−
1
(
x
)
=
−
x
f^{-1}(x) = -x
f
−
1
(
x
)
=
−
x
(b)
f
−
1
(
x
)
=
1
∣
x
∣
f^{-1}(x) = \frac{1}{|x|}
f
−
1
(
x
)
=
∣
x
∣
1
(c) the function
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
does not exist (d)
f
−
1
(
x
)
=
1
x
f^{-1}(x) = \frac{1}{x}
f
−
1
(
x
)
=
x
1
(2007)
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