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Posted: **Wed Jul 06, 2022 12:04 pm**

: Problem 9 Let X Y Z Be Three Metric Spaces Let F X Y And G Y Z Be Continuous Show That Gof X Z Is Also Cont 1 (46.46 KiB) Viewed 13 times

Problem 9. Let X, Y, Z be three metric spaces. Let ƒ : X → Y and g: Y→ Z be continuous. Show that gof: X→ Z is also continuous. (Hint: you may use any three of the equivalent definitions for continuity, but one may be much simpler than the others.)