Math 199 (Assignments)

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1. Suppose $f\colon X\to Y$ and $g\colon Y\to Z$ are functions. Show that if $f$ and $g$ are bijections, then so is $g\circ f$.
2. Suppose $f\colon A\to C$ and $g\colon B\to D$ are functions. Show that if $f$ and $g$ are bijections, then $h\colon A\times B\to C\times D$ by $h(x,y)=(f(x),g(y))$ is a bijection.

Math 199 (Fall 2019) web pages Created: 30 Oct 2019 Last modified: 1 Nov 2019 at 3:22 PM Comments to: dpvc@union.edu

Assignments