hi,
This question is causing me some confusion!!
(attached!)
i have the diagrams for f,g,h, and k but im confused bout how i would draw k o g & g o f...
any help would be greatly appreciated!
thanks!
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i suppose you want the mapping diagrams. where you draw ovals to represent the domain and range and arrows from elements in the domain to elements in the range? whatever the case may be, you should realize that $\displaystyle k \circ g (n) = k(g(n))$ meaning, you want a diagram with domain B whose range is A. that is, $\displaystyle k \circ g$ is a function from B to A ($\displaystyle k \circ g : B \to A$. so draw a diagram that takes elements through $\displaystyle B \to C \to A$
similarly, for $\displaystyle g \circ f : A \to C$, draw a diagram that takes elements through $\displaystyle A \to B \to C$