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

Similar Questions

Explore conceptually related problems

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

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

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

If f(x)=(x-a)^2(x-b)^2 , find f(a+b)

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

If : f(x) =log ((1+x)/(1-x)), then show that f(a)+f(b)=f ((a+b)/(1+ab)) and 2f(x)=f ((2x)/(1+x^2)).