0 reads0 ratings0 helpful
If (f:A\to B) and (g:B\to C) are both onto, which statement about (g\circ f) is correct?यदि (f:A\to B) और (g:B\to C) दोनों आच्छादी हैं, तो (g\circ f) के बारे में सही कथन कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is always ontoयह हमेशा आच्छादी है
Step 1: Take any (c\in C). Step 2: Since (g) is onto, some (b\in B) satisfies (g(b)=c); since (f) is onto, some (a\in A) satisfies (f(a)=b). Step 3: Hence ((g\circ f)(a)=c), so the composition is onto.चरण 1: (C) के किसी भी (c) को लें। चरण 2: (g) आच्छादी है, इसलिए कोई (b\in B) है जहाँ (g(b)=c); और (f) आच्छादी है, इसलिए कोई (a\in A) है जहाँ (f(a)=b)। चरण 3: इसलिए ((g\circ f)(a)=c), अतः संयोजन आच्छादी है।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
