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N V b N M ^ A a w { 鋳 w A _ B 玁 Ɋw ԁB ݁A O a Ɏt B M ^ \ ͂ ߁A ̎ ~ l n n Ƃ CM o i R X Ζ A W X A R q M t gAGF j A L R K q ̔ t Ƃ ăR T g o B ̉ F 𐶂 Ċ W J A ̐l X Ƃ̏o ɂ S ʼn t B02 N4 `10 A R ~ j e BFM u t B } j Y v 003 NZEPP ɂ BAND u t B v R T g 004 N12 A { @ j ̃} L R K q o b N M ^ X g R T g o B y H MOX ~ W b N X N M ^ ȍu t B k w N V b N M. HINT if f(x) = f(y) then either f(x) = f(y) € range(g) or f(x) = f(y) range(g) (two cases in one of these you will need to invoke the injective property of g) (c) (3 points) Prove that f is not onto HINT Suppose g(1) € range(f) Then, 3 x 6 X such that f(x) g(1) Use part (a) and the injectivity of g to derive a contradiction. R W t t l N X g V v ͎ c ̖ p V v ł R ~ ͂ǂ Ȃ́H Ƃ ͂ցB ۂɃR W t t l N X g V v w Ǘ l A Ȍ R ~ ͂ ܂ B w ̍ۂ h b O X g A Ȃǂ̎s ̂ Ȕ̔ X Љ Ă ܂ B.

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10/11/18 · If y = (f(x) g(x) h(x)), (l m n), (a b c), then prove that dy/dx = (f'(x) g'(x) h'(x)), (l m n), (a b c) Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries. £ ¾ \ n/j 'HOO ( £ ¯ n/j X g 7 5>õ$5 × ñÏ7(© &é ¶@ G & ¼ ×f n/j ?ô l £ £XÏ7 LCD n/j CXGÿ ¼ÿ3P o1 5$ Ô 7 E 5>õ$5 \ n/j Lt V¶;M n/j,´ 4ô&Ä Ø f`¶ p 9 4ô&È ² Ì 9 5j aÈ B'6 3'HOO Ä 7# Ö 9Ë N© 7 _ F9&È ¦ ZL¿ n/j Lt VÄ 9ËÏ7 Fy X Ë æ/ ` j= ËÄ. X1 X Q N @ x g X i ` j ܂茩 Ȃ X P X Q V Y ̃ x g X ̃A E F C j t H B.

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