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Mathematics
Problem
The function
g
g
g
is defined by
g
(
x
)
=
k
x
2
+
c
g(x)=k x^{2}+c
g
(
x
)
=
k
x
2
+
c
, where
k
>
0
k>0
k
>
0
and
c
c
c
are constants. It is known that
(
g
−
1
)
′
(
8
)
=
1
6
(g^{-1})'(8)=\dfrac{1}{6}
(
g
−
1
)
′
(
8
)
=
6
1
and
(
g
−
1
)
′
(
53
)
=
1
24
(g^{-1})'(53)=\dfrac{1}{24}
(
g
−
1
)
′
(
53
)
=
24
1
. What is the ordered pair
(
k
,
c
)
(k,c)
(
k
,
c
)
? a)
(
5
,
3
)
(5,3)
(
5
,
3
)
b)
(
3
,
5
)
(3,5)
(
3
,
5
)
c)
(
12
,
5
)
(12,5)
(
12
,
5
)
d)
(
2
,
4
)
(2,4)
(
2
,
4
)
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