Question

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

Answer 1

The 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 One-Variable Calculus
and I guess you could find some better text ...:) ... at least for functions and compositions...

Answer 2

thnx