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Question 8 - Week 5 Practice | Prasnya
Q8
00:00
16 Mar 2025
Q8.
Consider a function
f
(
x
)
=
2
x
+
4
3
x
f(x)=\frac{2x+4}{3x}
f
(
x
)
=
3
x
2
x
+
4
. If
g
(
x
)
g(x)
g
(
x
)
is the inverse function of
f
(
x
)
f(x)
f
(
x
)
, then which of the following option(s) is(are) true?
A
g
(
x
)
=
2
2
x
−
3
g(x)=\frac{2}{2x-3}
g
(
x
)
=
2
x
−
3
2
B
g
(
x
)
=
4
3
x
−
2
g(x)=\frac{4}{3x-2}
g
(
x
)
=
3
x
−
2
4
C
g
′
(
1
)
=
−
12
g'(1)=-12
g
′
(
1
)
=
−
12
D
f
′
(
7
)
=
−
1
12
f'(7)=-\frac{1}{12}
f
′
(
7
)
=
−
12
1
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Details
Q8
00:00
16 Mar 2025
Q8.
Consider a function
f
(
x
)
=
2
x
+
4
3
x
f(x)=\frac{2x+4}{3x}
f
(
x
)
=
3
x
2
x
+
4
. If
g
(
x
)
g(x)
g
(
x
)
is the inverse function of
f
(
x
)
f(x)
f
(
x
)
, then which of the following option(s) is(are) true?
A
g
(
x
)
=
2
2
x
−
3
g(x)=\frac{2}{2x-3}
g
(
x
)
=
2
x
−
3
2
B
g
(
x
)
=
4
3
x
−
2
g(x)=\frac{4}{3x-2}
g
(
x
)
=
3
x
−
2
4
C
g
′
(
1
)
=
−
12
g'(1)=-12
g
′
(
1
)
=
−
12
D
f
′
(
7
)
=
−
1
12
f'(7)=-\frac{1}{12}
f
′
(
7
)
=
−
12
1
Save
Check
Details
