Question 8 - Week 5 Practice | Prasnya
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Week 5
Question 8
00:00
Est. 2 min
Marks:
+2.00
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Consider a function
f
(
x
)
=
2
x
+
4
3
x
f(x)=\frac{2x+4}{3x}
. If
g
(
x
)
g(x)
is the inverse function of
f
(
x
)
f(x)
, then which of the following option(s) is(are) true?
Multiple correct
Medium Difficulty
16 March 2025
A
g
(
x
)
=
2
2
x
−
3
g(x)=\frac{2}{2x-3}
B
g
(
x
)
=
4
3
x
−
2
g(x)=\frac{4}{3x-2}
C
g
′
(
1
)
=
−
12
g'(1)=-12
D
f
′
(
7
)
=
−
1
12
f'(7)=-\frac{1}{12}
