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anonymous
 4 years ago
show that if f maps X into Y,g maps Y into Z, and h maps Z into W,then ho(gof) and (hog)of are the same function
http://quod.lib.umich.edu/s/spobooks/5597602.0001.001/107:4.1?page=root;rgn=full+text;size=100;view=image
anonymous
 4 years ago
show that if f maps X into Y,g maps Y into Z, and h maps Z into W,then ho(gof) and (hog)of are the same function http://quod.lib.umich.edu/s/spobooks/5597602.0001.001/107:4.1?page=root;rgn=full+text;size=100;view=image

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cristiann
 4 years ago
Best ResponseYou've already chosen the best response.0The composition of functions is associative: h∘(g∘f)(x)=h((g∘f)(x))=h(g(f(x))) ((h∘g)∘f)(x)=(h∘g)(f(x))=h(g(f(x))) I've looked into Wilfred Kaplan, Donald J. Lewis: Calculus and Linear Algebra. Vol. 1: Vectors in the Plane and OneVariable Calculus and I guess you could find some better text ...:) ... at least for functions and compositions...
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