Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let the sum of the maximum and the minimum values of the function
f
(
x
)
=
2
x
2
−
3
x
+
8
2
x
2
+
3
x
+
8
f(x) = \frac{2x^2 - 3x + 8}{2x^2 + 3x + 8}
f
(
x
)
=
2
x
2
+
3
x
+
8
2
x
2
−
3
x
+
8
be
m
n
\frac{m}{n}
n
m
, where
gcd
(
m
,
n
)
=
1
\text{gcd}(m, n) = 1
gcd
(
m
,
n
)
=
1
. Then
m
+
n
m + n
m
+
n
is equal to: (A) 182 (B) 217 (C) 195 (D) 201
Browse the problem library