Suppose f,g:E-R are measurable functions on a sigma algebra E. Show that h:E-R defined by h(x)={((f(x))/(g(x)) if g(x)!=0),(0, If g(x)=0):} is measurable. 6. Let Nsub[0,1] be a non-measurable set. Determine whether the function f:R-R defined by f(x)={(x if xinN),(-x, If x!inN):} is measurable. Explain solutionspile.com

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Suppose f,g:E->R are measurable functions on a sigma algebra E. Show that h:E->R defined by h(x)={((f(x))/(g(x)) if g(x)!=0),(0, If g(x)=0):} is measurable. 6. Let Nsub[0,1] be a non-measurable set. Determine whether the function f:R->R defined by f(x)={(x if xinN),(-x, If x!inN):} is measurable. Explain  solutionspile.com

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