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Composition of measurable functions
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)
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Mathematics
Area of mathematics
Analysis
Real analysis
Measure theory
Measurable function
2026-09-28
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If
f
:
(
X
,
A
)
→
(
Y
,
B
)
and
g
:
(
Y
,
B
)
→
(
Z
,
C
)
are measurable, then
g
∘
f
is measurable because
(
g
∘
f
)
−
1
(
C
)
=
f
−
1
(
g
−
1
(
C
))
.
(1)
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Measurable function
Measure theory
Real analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 202
/
2
/
d
/
Solution
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