If `f(y) = y/(sqrt1-y^2), g(y) = y/(sqrt(1+y^2))` then show that `fog(y) = y`.

If f(y)=(y)/(sqrt(1-y^(2))),g(y)=(y)/(sqrt(1+y^(2))) then show that ("fog")(y)=y

y = sqrt(1 + x^(2)) : y' = (xy)/(1 + x^(2))

If sqrt(1 - x^(2)) + sqrt(1 - y^(2)) = a(x - y) , then prove that (dy)/(dx) = sqrt((1-y^(2))/(1-x^(2))) .

If x = log ( y + sqrt(y^2 -1)) then y =

If y = sqrt(sec 2x ) then y _(2) =

If y=f(x) =(x+2)/(x-1)(x ne 1,-2) then show that x=f(y)

If sqrt(1- x ^(2)) + sqrt(1- y ^(2) ) = a (x -y) then (dy)/(dx)=