12.Let f(x) = x^2 + 6x + c for all real numbers x,where c is some real number.For what values of c does f(f(x)) have exactly 3 distinct real roots?

12.Let f(x) = x^2 + 6x + c for all real numbers x,where c is some real number.For what values of c does f(f(x)) have exactly 3 distinct real roots? 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 1.given the function f(x) = 2x*2 +5x -7,find the values of:a) f(-2) b) f(4) c) f(x*2) d) (f(x))*2 e) f(x*2) -xf(x)2.let f(x) =1/2 (2*x (符号是二的x次方) +2*-x (二的-x次方))show that for any real values of x and y,f(x+y) +f (x-y) = 2f(x)f(y Let f be the function with derivative given by f'(x)=sin(x*x+1).How many relative extrama dose f have on the interval 2 f(X)=f(X+2)(x f(x)=x^2+x (x f(x+2)>=f(x)+2,f(x+3) 一道英文数学题,Let f be a real-valued function of real and positive argument such that f(x)+3xf(1/x)=2(x+1) for all real numbers x>0.Find f(2003). 一道数学题（英文的）!关于(The derivatives)1.Let f(x)=2x^2-x a.Using the definition f'(x)=lim [f(x+h)-f(x)]/h,compute f'(2).h→0 b.Using the definition f'(x)=lim [f(x+h)-f(x)]/h,find f'(x).h→0 c.Does the formula in part(b)yield the corr 若f(x)满足f(x)-2f(1/x)=x,则f(x)=? 若F(x)满足f(x)+2f(1/x)=x,则f(x)= 设函数f(x)满足f(x)+2f(1/x)=x,求f(x) 已知f(x)满足2f(x)+f(1/x)=3x,求f(x) F(X)满足F(x)+2f(x分之1)=3X,求f(x) 已知f(x)满足2f(x)+f(1/x)=3x,求f(x)? 已知f(x)满足2f(x)+f(-x)=-3x+1,求f(x) f(x)满足:2f(x)-f(1/x)=x+1,求f(x) 已知f(x)满足f(x)+2f(1/x)=3x,求f(x) ,