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2023 CUBRMC
5
2023 CUBRMC Team #5 f(x)=2x^2 - 3x + r
2023 CUBRMC Team #5 f(x)=2x^2 - 3x + r
Source:
March 8, 2024
algebra
cubrmc
Problem Statement
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?
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