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If (f:A\to B) and (g:B\to C) are both onto, what can be said about (g\circ f)?यदि (f:A\to B) और (g:B\to C) दोनों आच्छादक हैं, तो (g\circ f) कैसा होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Ontoआच्छादक
Step 1: Since (g) is onto, every element of (C) is the image of some element of (B). Step 2: Since (f) is onto, it can reach every needed element of (B). Step 3: Therefore (g\circ f) is onto from (A) to (C).चरण 1: (g) आच्छादक है, इसलिए (C) का हर अवयव (B) के किसी अवयव की छवि है। चरण 2: (f) आच्छादक है, इसलिए वह (B) के हर जरूरी अवयव तक पहुँच सकता है। चरण 3: इसलिए (g\circ f) भी (A) से (C) पर आच्छादक होगा।
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