Question

Show that if f is measurable, then I f!
is also measurable.​

Answer 1

Answer:

Then f + g is a measurable function, provided {f(x),g(x)} = {−∞,+∞} for every x ∈ X. Moreover, fg is also a measurable function. ... As a countable union of measurable sets, the set {x ∈ X : f(x)g(x) > a} is measurable. This shows that fg is measurable whenever f ≥ 0 and g ≥ 0.

Hope it helps you dear❤❤☺

Answer 2

Answer:

the above answer is correct I cross checked