1268
You visited us
1268
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Euclidean Geometry
Let f: A → B ...
Question
Let f : A → B and g : B → C be the bijective functions. Then, (gof)
–1
=
(a) f
–1
o g
–1
(b) fog
(c) g
–1
of
–1
(d) gof
Open in App
Solution
Given: f : A → B and g : B → C be the bijective functions
Since
,
f
:
A
→
B
Thus
,
f
-
1
:
B
→
A
.
.
.
1
Since
,
g
:
B
→
C
Thus
,
g
-
1
:
C
→
B
.
.
.
2
From
1
and
2
,
we
get
f
-
1
o
g
-
1
:
C
→
A
.
.
.
3
Also
,
g
o
f
:
A
→
C
⇒
g
o
f
-
1
:
C
→
A
.
.
.
4
Therefore
,
g
o
f
-
1
=
f
-
1
o
g
-
1
Hence, the correct option is (a).
Suggest Corrections
28
Similar questions
Q.
Let
f
:
A
→
B
a
n
d
g
:
B
→
A
be two functions such that
g
o
f
=
I
A
a
n
f
f
o
g
=
I
B
.
Then, which of the following statement/s is/are true?