Byju's Answer
Standard X
Mathematics
Composition of Function
If f x = x 2-...
Question
If
f
(
x
)
=
x
2
−
1
,
and
g
(
x
)
=
x
−
2
,
then find a, if
g
o
f
(
a
)
=
1.
A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0.0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
2
g
o
f
(
a
)
=
g
{
f
(
a
)
}
Given,
f
(
x
)
=
x
2
−
1
,
and
g
(
x
)
=
x
−
2
∴
g
{
f
(
a
)
}
=
g
{
a
2
−
1
}
=
(
a
2
−
1
)
−
2
=
a
2
−
3
Given,
g
o
f
(
a
)
=
1
∴
a
2
−
3
=
1
⇒
a
2
=
4
⇒
a
=
±
2
Suggest Corrections
0
Similar questions
Q.
If
f
(
x
)
=
x
2
−
1
,
and
g
(
x
)
=
x
−
2
,
then find a, if
g
o
f
(
a
)
=
6.
Q.
Let
f
(
x
)
=
3
x
−
2
−
1
x
+
3
and
g
(
x
)
=
x
2
−
4
x
+
19
x
2
+
x
−
6
. If
f
(
x
)
=
g
(
x
)
, then
x
=
Q.
If
f
:
R
→
R
,
g
:
R
→
R
are defined by
f
(
x
)
=
4
x
−
1
,
g
(
x
)
=
x
3
+
2
,
then
(
g
o
f
)
(
a
+
1
4
)
=
Q.
If
f
(
x
)
=
x
2
−
1
x
and
g
(
x
)
=
x
+
2
x
−
3
,
then the domain of
f
(
x
)
g
(
x
)
is
Q.
Let
f
(
x
)
=
{
x
+
a
,
i
f
x
≥
1
a
x
2
+
1
,
i
f
x
<
1
, then f(x) is differentiable at x = 1 if
View More
Explore more
Composition of Function
Standard X Mathematics
Solve
Textbooks
Question Papers
Install app