Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For
f
(
x
)
=
∣
x
−
3
∣
f(x)=|x-3|
f
(
x
)
=
∣
x
−
3∣
and
g
(
x
)
=
1
x
+
1
g(x)=\dfrac{1}{x+1}
g
(
x
)
=
x
+
1
1
, determine
(
g
∘
f
)
(
x
)
(g\circ f)(x)
(
g
∘
f
)
(
x
)
. a)
1
∣
x
−
3
∣
−
1
\dfrac{1}{|x-3|}-1
∣
x
−
3∣
1
−
1
b)
∣
x
−
3
∣
∣
x
−
3
∣
+
1
\dfrac{|x-3|}{|x-3|+1}
∣
x
−
3∣
+
1
∣
x
−
3∣
c)
1
∣
x
−
3
∣
+
1
\dfrac{1}{|x-3|+1}
∣
x
−
3∣
+
1
1
d)
∣
x
−
3
∣
+
1
|x-3|+1
∣
x
−
3∣
+
1
Browse the problem library