If `f(x)=(x-a)/x+x/(x-b)`, then find `f((a+b)/2)`.

If f(x)=(x^(2)-x+1)/(x^(2)+x+1) ,then find f(1+b)

If f(x)=(x-a)(x-b), then show that f(x)>=-((a-b)^(2))/(4). Find the least integral value of 'k' for which the quadratic polynomial

If f(x)=(x)/(x-1) , then evaluate : (f(a//b))/(f(b//a))

If B = [{:(-1, 0), (2, 4):}] " and " f(x) = x^(2) - 4x + 5, then find f(B).

If f(x)=(ax^(2)+b)^(3), then find the function g such that f(g(x))=g(f(x))

If f(x)=log((1+x)/(1-x)), then (a) f(x_(1))f(x)=f(x_(1)+x_(2))(b)f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^(2)+x)(d)f(x_(1))+f(x_(2))=f((x_(1)+x_(2))/(1+x_(1)x_(2)))

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

If f(a+b-x)=f(x) , then int_(a)^(b)x f(x)dx=

If f((ax+b)/(x-a))=x, then f^(-1)(x)= (a) x (b) (bx+a)/(x-b)( c) f(x)

If f((ax+b)/(x-a))=x, find f(x) Also find f^-1(x) .