Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
2
x
−
1
f(x)=\sqrt{2x-1}
f
(
x
)
=
2
x
−
1
and
g
(
x
)
=
1
x
−
4
g(x)=\dfrac{1}{x-4}
g
(
x
)
=
x
−
4
1
. The domain of the composite function
g
∘
f
g\circ f
g
∘
f
is a)
(
1
2
,
∞
)
∖
{
17
2
}
(\tfrac12,\infty)\setminus\{\tfrac{17}{2}\}
(
2
1
,
∞
)
∖
{
2
17
}
b)
[
1
2
,
∞
)
∖
{
4
}
[\tfrac12,\infty)\setminus\{4\}
[
2
1
,
∞
)
∖
{
4
}
c)
[
1
2
,
∞
)
∖
{
17
2
}
[\tfrac12,\infty)\setminus\{\tfrac{17}{2}\}
[
2
1
,
∞
)
∖
{
2
17
}
d)
[
1
2
,
∞
)
[\tfrac12,\infty)
[
2
1
,
∞
)
Browse the problem library