Q.Prove or disprove the following: if f and g are measurable functions, f2 +g² then 2+g2 is meaurable function. | 3x +2 if x> 0 2f x 2], [h

Q.Prove or disprove the following:<br>if f and g are measurable functions,<br>f2 +g²<br>then<br>2+g2<br>is meaurable function.<br>| 3x +2 if x> 0<br>2f x <0<br>Q. Given h(x) =<br>x- 1<br>Determine [h > 2], [h < -2], and [h2 2 4].<br>Q. Let (X, B(R), µ) be a Borel measure space.<br>If An B= 0, BnC = 4, µ(ANC) = 0.<br>Determine u(AUBUC).<br>

Extracted text: Q.Prove or disprove the following: if f and g are measurable functions, f2 +g² then 2+g2 is meaurable function. | 3x +2 if x> 0 2f x <0 q.="" given="" h(x)="x-" 1="" determine="" [h=""> 2], [h < -2],="" and="" [h2="" 2="" 4].="" q.="" let="" (x,="" b(r),="" µ)="" be="" a="" borel="" measure="" space.="" if="" an="" b="0," bnc="4," µ(anc)="0." determine="">

Jun 04, 2022

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Q.Prove or disprove the following: if f and g are measurable functions, f2 +g² then 2+g2 is meaurable function. | 3x +2 if x> 0 2f x 2], [h

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