Behaviour being used: Adaptive mode
Minimum fraction: 0
Question summary: Fie funcţiile[straight f comma straight g colon straight real numbers rightwards arrow straight real numbers] [straight f left parenthesis straight x right parenthesis equals fraction numerator straight x plus # straight m over denominator straight x squared plus # straight n end fraction straight g left parenthesis straight x right parenthesis equals fraction numerator # straight n space straight x plus # straight m over denominator square root of straight x squared plus # straight n squared end root end fraction] Asociaţi răspunsul corect cerinţelor de mai jos. {(f o f)(x); (f o g)(x); (g o g)(x); (g o f)(x)} -> {(-4·(x^2+25)^(1/2)+(25·x-20))/((x^2+25)^(1/2)·((50·x^2-40·x+641)/(x^2+25))^(1/2)); (-4·x^4+x^3-44·x^2+5·x-120)/(5·x^4+51·x^2-8·x+141); (-4·x^2+5·x-40)/((x^2+5)·((25·x^4+251·x^2-8·x+641)/(x^4+10·x^2+25))^(1/2)); ((-4·x^2-100)·(x^2+25)^(1/2)+(5·x^3-4·x^2+125·x-100))/((30·x^2-40·x+141)·(x^2+25)^(1/2))}
Right answer summary: (f o f)(x) -> (-4·x^4+x^3-44·x^2+5·x-120)/(5·x^4+51·x^2-8·x+141); (f o g)(x) -> ((-4·x^2-100)·(x^2+25)^(1/2)+(5·x^3-4·x^2+125·x-100))/((30·x^2-40·x+141)·(x^2+25)^(1/2)); (g o g)(x) -> (-4·(x^2+25)^(1/2)+(25·x-20))/((x^2+25)^(1/2)·((50·x^2-40·x+641)/(x^2+25))^(1/2)); (g o f)(x) -> (-4·x^2+5·x-40)/((x^2+5)·((25·x^4+251·x^2-8·x+641)/(x^4+10·x^2+25))^(1/2))
Question state: todo