Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
a
x
+
3
,
x
<
2
x
2
−
a
,
x
≥
2
f(x)=\begin{cases} ax+3, & x<2\\ x^{2}-a, & x\ge 2 \end{cases}
f
(
x
)
=
{
a
x
+
3
,
x
2
−
a
,
x
<
2
x
≥
2
Determine the value of
a
a
a
that makes
f
f
f
continuous at
x
=
2
x=2
x
=
2
. a)
−
1
3
-\dfrac{1}{3}
−
3
1
b)
1
1
1
c)
1
3
\dfrac{1}{3}
3
1
d)
4
4
4
Browse the problem library