MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Other Middle and High School Contests
CUBRMC
2023 CUBRMC
5
5
Part of
2023 CUBRMC
Problems
(1)
2023 CUBRMC Team #5 f(x)=2x^2 - 3x + r
Source:
3/8/2024
The quadratic polynomial
f
(
x
)
f(x)
f
(
x
)
has the expansion
2
x
2
ā
3
x
+
r
2x^2 - 3x + r
2
x
2
ā
3
x
+
r
. What is the largest real value of
r
r
r
for which the ranges of the functions
f
(
x
)
f(x)
f
(
x
)
and
f
(
f
(
x
)
)
f(f(x))
f
(
f
(
x
))
are the same set?
algebra
cubrmc