" If "f((x)=(a(x-b))/(a-b)+(b(x-a))/(b-a)" so show that "f(a)+g(b)=f(a+b)

If f(x)=a.(x-b)/(a-b)+b.(x-a)/(b-a) , show that, " "f(a)+f(b)=f(a+b) .

If f(x)=a(x-b)/(a-b)+b.(x-a)/(b-a) then show that f(a)+f(b)=f(a+b).

If f(x)=(a(x-b))/(a-b)+(b(x-a))/(b-a) , then prove that f(a) + f(b) = a + b.

If f(x)=b(x-a)/(b-a)+a(x-b)/(a-b) ,show that f(a)+f(b)=f(a+b).

If f(x)=(b(x-a))/(b-a)+(a(x-b))/(a-b), prove that f(a+b)=f(a)+f(b)

If f(X) = (ax-b)/(bx-a) , show that f(f(x)) = x

If y=f(x)=(a x-b)/(b x-a) , show that x=f(y)dot

If f(x)=log((1-x)/(1+x)) , show that f(a)+f(b)=f((a+b)/(1+ab))

If f(x) =(x-a) (x-b) , then show that f(x) ge (a-b)^(2)/4

If F(x)=((x-b)(x-c))/((a-b)(a-c))+((x-c)(x-a))/((b-c)(b-a))+((x-a)(x-b))/((c-a)(c-b)) , show that F(0)=1.