Prove that continuous function of a continuous function is continuous.

Let f:X→Yf: X \to Y and g:Y→Zg: Y \to Z be two continuous functions, where X,Y,ZX, Y, Z are topological spaces. We want to show that the composition g∘f:X→Zg _________ __________ _______ ___ ________ ____ _________ __________ ____ _______.
___ __________ ________ _________ _______.
__________ _________ ____ ___ _________ _______ _______.
____ ___ _____ ________ ______.
_______ ____ _____ _________ ___ ____ _____ ___ _________ _____ _________.
_________ _____ _____ _________ __________ ____ ____ _______ _________.
_________ ___ ______ _____ ___.
_____ _______ _________ _____ _________ _______ _______ _________ ______ ___ _____.
______ _________ ____ ________ _____ ________ __________ __________ ____.
___ ____ _____ __________ __________ ___ _____.
__________ _____ ____ __________ __________ _____ _______ __________ ________.
Get Full Answer on WhatsApp