Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A differentiable, one-to-one function
g
g
g
passes through the points
(
4
,
9
)
(4,9)
(
4
,
9
)
and
(
6
,
17
)
(6,17)
(
6
,
17
)
. Assume the tangent line to
g
g
g
at
x
=
4
x=4
x
=
4
also contains
(
6
,
17
)
(6,17)
(
6
,
17
)
. Which value best approximates
(
g
−
1
)
′
(
9
)
(g^{-1})'(9)
(
g
−
1
)
′
(
9
)
? a)
−
0.25
-0.25
−
0.25
b)
0.25
0.25
0.25
c)
0.125
0.125
0.125
d)
4
4
4
Browse the problem library