Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
:
R
→
R
f:\mathbb R\to\mathbb R
f
:
R
→
R
be any function and let
g
:
(
0
,
∞
)
→
R
g:(0,\infty)\to\mathbb R
g
:
(
0
,
∞
)
→
R
. Which of the following sets is the domain of the composite function
g
∘
f
g\circ f
g
∘
f
? a)
{
x
∈
R
∣
g
(
x
)
>
0
}
\{x\in\mathbb R\mid g(x)>0\}
{
x
∈
R
∣
g
(
x
)
>
0
}
b)
{
x
∈
R
∣
f
(
x
)
≥
0
}
\{x\in\mathbb R\mid f(x)\ge 0\}
{
x
∈
R
∣
f
(
x
)
≥
0
}
c)
{
x
∈
R
∣
f
(
x
)
>
0
}
\{x\in\mathbb R\mid f(x)>0\}
{
x
∈
R
∣
f
(
x
)
>
0
}
d)
R
\mathbb R
R
Browse the problem library