If g(f(x))=2x+1 and f(x)=1/4x-1,then g(x)=

If g(f(x))=2x+1 and f(x)=1/4x-1,then g(x)= If f(x)=4x+1 and g(x)=x^2-3x+1,then (f+g)(-2)=? It is given that f(x-1)= -2(x-1)^3 + (x-1)^2 +x-1 and g(x)=2x^3 - x^2 - x +k.If..It is given that f(x-1)= -2(x-1)^3 + (x-1)^2 +x-1 and g(x)=2x^3 - x^2 - x +k.If the graph of y= g(x) is obtained by translating the graph of y=f(x) upwards by 3 units,an max{f(x),g(x)}=1/2(f(x)+g(x)+|f(x)-g(x)| f(x)=2x-1,g(x)=x^2,则f[g(x)]=?,g[f(x)]=?,f[f(x)]=?,g[g(x)]=? IF(AND(F>=5,G>=5),1,IF(AND(F>=1,G>=1),2,IF(AND(F 要用计算器if f(x)=e^x and g(x)=sinx,then the value of (f.g)(根号2)is：附：(f.g)=f(g(x))保留1位小数,把用计算器算的过程写下来.（我会酌情加分的） 1.given the function f(x) = x*2 -4x -5,find the values of:a) f(k-2) b) f(x*2) - x*2 f(1)2.given two functions f(x) = x*2 -3 and g(x) = 3x-4,find the values of:a) f(k+1) -g(k-1) b) f(g(x)) c) g(f(x))3.let f(x) = 1/1-x,finda) f(f(x)) b) f(f(f(x))) c) f If y = f(u) and u = g(x),where f and g are twice differentiable functions,show thatd2y/dx2 =d2y/du2 (du/dx)＾2 +dy/du(d2u/dx2)f 和 g 两次微分 已知f(x)=3x+2,g(x)=x^2-1,求f(x+1),f[f(x0],f[g(x)],g[f(x)] 求Pattern Recognition and Machine Learning中一句话的翻译理解书里最开始的Mathematical notation里有一段The notation g(x)=O(f(x)) denotes that |f(x)/g(x)| is bounded as x->∞. For instance if g(x)=3x²+2, then g(x)=O(x²). 已知f'(x)=g(x),g'(x)=f(x),f(0)=1,g(0)=0,证f^2(x)+g^2(x)=1 已知f(x)是偶函数,g(x)是奇函数,f(x)+g(x)=2x^3-x^2+3x+1,则f(x),g(x)为 设f(x)=x g(x)=2x-1 则f(g(0))= f(x)=sinx,f[g(x)]=1-x^2,求g(x)及定义域 f(x)=sinx,f[g(x)]=1-x^2,求g(x)及定义域 若g(x)=1/2 [f(x)+f(-x)],证明g`(x)是奇函数 Assume f is a differentiable function whose graph passes through the point (1,4).If g(x) = f(x^2) and the tangent line to the graph of f at (1,4) is y=3x+1,determine g'(x)?