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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2005 • Question 1

Question

Math 6210 • Real Analysis 2005 • Question 1

Let \(f\) and \(g\) be two real measurable functions on a measurable space \(X\). Show that \[ \{x\in X\mid \sin (f(x))\ge \exp (g(x))\} \] is measurable.

Raw LaTeX

Let \(f\) and \(g\) be two real measurable functions on a measurable
space \(X\). Show that
\[
\{x\in X\mid \sin(f(x))\ge \exp(g(x))\}
\]
is measurable.

Topic Tags

Measurable Functions