# Composition of continuous maps is continuous

Suppose that f: D-->R and g: R-->Y are two continuous transfromations, where D, R, and Y are subsets of the plane. Show that the composition
g o f is a continuous transformation.

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mikki said:
Show that the composition g o f is a continuous transformation.
Who are you talking to? Show some work if you want some help.

mikki said:
Suppose that f: D-->R and g: R-->Y are two continuous transfromations, where D, R, and Y are subsets of the plane. Show that the composition
g o f is a continuous transformation.
it doesn't take much to prove that. if you just write down the definitions i think you'll have done half the work. what have you tried so far?

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