0 reads0 ratings0 helpful
If (f:A\to B) and (g:B\to C), and (g\circ f) is one-one, which conclusion is definitely true?यदि (f:A\to B) और (g:B\to C) हैं तथा (g\circ f) एकैकी है, तो कौन सा निष्कर्ष निश्चित रूप से सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (f) is one-one(f) एकैकी है
Step 1: If (f(a_1)=f(a_2)), then (g(f(a_1))=g(f(a_2))). Step 2: Since (g\circ f) is one-one, (a_1=a_2). Step 3: Hence (f) must be one-one, while (g) need not be one-one on all of (B).चरण 1: यदि (f(a_1)=f(a_2)), तो (g(f(a_1))=g(f(a_2))) होगा। चरण 2: (g\circ f) एकैकी है, इसलिए (a_1=a_2)। चरण 3: इसलिए (f) का एकैकी होना अनिवार्य है, पर (g) पूरे (B) पर जरूरी नहीं।
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.
