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JEE Main Math Class 11 Coordinate Geometry Questions 4 Questions
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© examsnet.com
Question : 2
Total: 100
For some
a
,
b
,
c
∈
ℕ
, let
f
(
x
)
=
a
x
−
3
and
g
(
x
)
=
x
b
+
c
,
x
∈
ℝ
. If
(
fog
)
−
1
(
x
)
=
(
x
−
7
2
)
1
∕
3
then (fog)
(
a
c
)
+
(
g
o
f
)
(b) is equal to ________.
[25-Jan-2023 Shift 1]
Your Answer:
Validate
Solution:
Let fog
(
x
)
=
h
(
x
)
⇒
h
−
1
(
x
)
=
(
x
−
7
2
)
1
3
⇒
h
(
x
)
=
fog
(
x
)
=
2
x
3
+
7
fog
(
x
)
=
a
(
x
b
+
c
)
−
3
⇒
a
=
2
,
b
=
3
,
c
=
5
⇒
fog
(
ac
)
=
fog
(
10
)
=
2007
g
(
f
(
x
)
=
(
2
x
−
3
)
3
+
5.
⇒
gof
(
b
)
=
gof
(
3
)
=
32
⇒
s
u
m
=
2039
© examsnet.com
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