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(Associativity ) Let `f: A to B , g : B to C " and " h: C to `. Then prove that ( h o g) o f = h o ( g o f )` |
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Answer» Let ` x in A` .Then `{( h o g ) o f } (x) = (h o g) { f (x)}` `=h [g {f (x) }]` `=h [( g o f ) (x) ]` `={h o (g o f )}(x)]` `:. ( h o g ) o f = h o ( g o f)` |
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