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If (f:A\to B) and (g:B\to C) are both onto, what is (g\circ f)?यदि (f:A\to B) और (g:B\to C) दोनों आच्छादी हों तो (g\circ f) कैसा होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Always ontoहमेशा आच्छादी
Step 1: Take any element of (C). Step 2: Since (g) is onto, it is the image of some element of (B), and since (f) is onto, that element of (B) comes from some element of (A). Step 3: Therefore (g\circ f) reaches every element of (C).चरण 1: (C) का कोई भी तत्व लें। चरण 2: (g) आच्छादी है इसलिए वह किसी (B) के तत्व का प्रतिबिंब है और (f) आच्छादी है इसलिए वह (B) का तत्व किसी (A) से आता है। चरण 3: इसलिए (g\circ f) भी (C) के हर तत्व तक पहुँचता है।
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