Let g: [a,b] --> [c,d] be a continuous function in [a,b], and f: [c,d] --> R a continuous function in g( ) [c,d]

Show that f o g: [a,b] --> R defined by (f o g)(x) = f(g(x)) x [a,b] is continuous in [a,b]

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- October 29th 2008, 11:30 AMCatoAnalysis problem
Let g: [a,b] --> [c,d] be a continuous function in [a,b], and f: [c,d] --> R a continuous function in g( ) [c,d]

Show that f o g: [a,b] --> R defined by (f o g)(x) = f(g(x)) x [a,b] is continuous in [a,b] - October 29th 2008, 05:11 PMCato
Anyone have any ideas on solving this?

- October 30th 2008, 01:06 PMMoo
- October 30th 2008, 02:02 PMThePerfectHacker