Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
∣
x
∣
f(x)=|x|
f
(
x
)
=
∣
x
∣
for all real
x
x
x
and
g
(
x
)
=
1
x
g(x)=\dfrac{1}{x}
g
(
x
)
=
x
1
for
x
≠
0
x\neq 0
x
=
0
. Explain why
(
g
∘
f
)
(
0
)
(g\circ f)(0)
(
g
∘
f
)
(
0
)
is not defined even though
f
(
0
)
=
0
f(0)=0
f
(
0
)
=
0
.
Browse the problem library