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If (f:A\to B) and (g:B\to C) are both bijective, what can be said about (g\circ f)?यदि (f:A\to B) और (g:B\to C) दोनों उभयैक हैं, तो (g\circ f) कैसा होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Bijectiveउभयैक
Step 1: Bijective means both one-one and onto. Step 2: The composite of two one-one functions is one-one, and the composite of two onto functions is onto. Step 3: Therefore (g\circ f) is bijective.चरण 1: उभयैक का अर्थ एक-एकी और आच्छादक दोनों होता है। चरण 2: दो एक-एकी फलनों का संयुक्त फलन एक-एकी होता है और दो आच्छादक फलनों का संयुक्त फलन आच्छादक होता है। चरण 3: इसलिए (g\circ f) उभयैक होगा।
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