Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
:
[
1
,
∞
)
→
[
0
,
∞
)
f:[1,\infty)\to[0,\infty)
f
:
[
1
,
∞
)
→
[
0
,
∞
)
be defined by
f
(
x
)
=
(
x
−
1
)
2
f(x)=(x-1)^2
f
(
x
)
=
(
x
−
1
)
2
. a. (a) Show that
f
f
f
is one-one on its domain. b. (b) Determine
f
−
1
(
y
)
f^{-1}(y)
f
−
1
(
y
)
in simplest form. c. (c) Using your result from part (b), find
f
−
1
(
9
)
f^{-1}(9)
f
−
1
(
9
)
.
Browse the problem library