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Byju's Answer
Standard XII
Mathematics
Scalar Matrix
If f: R → R i...
Question
If f : R → R is given by f(x) = x
3
, write f
−1
(1).
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Solution
Let
f
-
1
1
=
x
.
.
.
1
⇒
f
x
=
1
⇒
x
3
=
1
⇒
x
3
-
1
=
0
⇒
x
-
1
x
2
+
x
+
1
=
0
u
sing
the
identity
:
a
3
-
b
3
=
a
-
b
a
2
+
a
b
+
b
2
⇒
x
=
1
(
as
x
∈
R
)
⇒
f
-
1
1
=
1
[
from
1
]
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