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2021 BMT
2
2021 BMT Algebra #2
2021 BMT Algebra #2
Source:
March 10, 2024
algebra
Problem Statement
Let
f
f
f
and
g
g
g
be linear functions such that
f
(
g
(
2021
)
)
−
g
(
f
(
2021
)
)
=
20
f(g(2021))-g(f(2021)) = 20
f
(
g
(
2021
))
−
g
(
f
(
2021
))
=
20
. Compute
f
(
g
(
2022
)
)
−
g
(
f
(
2022
)
)
f(g(2022))- g(f(2022))
f
(
g
(
2022
))
−
g
(
f
(
2022
))
. (Note: A function h is linear if
h
(
x
)
=
a
x
+
b
h(x) = ax + b
h
(
x
)
=
a
x
+
b
for all real numbers
x
x
x
.)
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