WebApr 5, 2024 · 结果为:f(x,y)=x²(y+1)/(y-1) 解题过程如下: f(x-y,y/x)=x^2-y^2. 令a=x-y. b=x/y. 则x=by. a=by-y. y=a/(b-1) x=ab/(b-1) 则x+y=a(b+1)/(b-1) 所以x²-y²=a²(b+1)/(b-1) f(a,b)=a²(b+1)/(b-1) ∴f(x,y)=x²(y+1)/(y-1) 扩展资料. 两个复系数的多项式之比为有理函数,它实现扩充的复平面到自身的解析映射。 WebLet $f:X\to Y$ where $X$ and $Y$ are nonempty. Prove that a sufficient and essential condition for any two subsets $A,B\subseteq X$ to fulfill $f(A\cap B)=f(A)\cap f ...
About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$
WebFind all functions $ f : \mathbb R \to \mathbb R $ such that for all reals $ x $ and $ y $: $$ f \bigl ( f ( x ) f ( y ) \bigr ) + f ( x + y ) = f ( x y ) \text . $$ It was six hours ago in IMO 20... WebApr 30, 2024 · 19. You can prove that f ( x) ≡ x in four fairly simple steps: Show that f is one-to-one. Assume f ( x) = f ( y) and show that this implies x = y by applying f two times to each side of the equation. Show that a continuous function that is one-to-one has to be strictly increasing or decreasing. This follows for example by the mean-value theorem. stories about zoo animals
3D color map of F=F(x,y,z) where data is given as a 2D array of the ...
WebA function that solves this equation is called an additive function.Over the rational numbers, it can be shown using elementary algebra that there is a single family of solutions, namely : for any rational constant . Over the real numbers, the family of linear maps:, now with an arbitrary real constant, is likewise a family of solutions; however there can exist other … Web1 day ago · Question: Find the maximum value of f(x,y)=x2+3y3 subject to the constraint 4x2+y2=81 Tries 0/99Find the maximum value of the function f(x,y)=8x−11y2 subject to the constraint x2+11y2=25. Tries 0/99. please also provide the work, thanks in advance! :D. Show transcribed image text. WebD i re c te u r · t r i c e A d m i n i st rat i f et F i n a n c i e r ( DA F ) Co n te x te Le LF I K Y O TO est un ét abl i ssement de 250 él èves convent i onné avec l ’ A gence pour l ’ E … rosetown sk restaurants