Let y= f(x) be an invertible function such that x-intercept of the tangent at any point P(x. y) on `y=f(x)` is equal to the square of abscissa of the point of tangency. If `f (2)=1`, then `f^(-1)(5/8)`=

Let f be a real-valued differentiable function on R (the set of all real numbers) such that f(1)=1. If the y-intercept of the tangent at any point P(x,y) on the curve y=f(x) is equal to the cube of the abscissa of P, then the value of f(-3) is equal to

Let f be a real-valued differentiable function on R (the set of all real numbers) such that f(1)=1. If the y- intercept of the tangent at any point P(x , y) on the curve y=f(x) is equal to the cube of the abscissa of P , then the value of f(-3) is equal to________

Let f be a real-valued differentiable function on R (the set of all real numbers) such that f(1)=1. If the y - intercept of the tangent at any point P(x , y) on the curve y=f(x) is equal to the cube of the abscissa of P , then the value of f(-3) is equal to________

The curve y=f(x) in the first quadrant is such that the y - intercept of the tangent drawn at any point P is equal to twice the ordinate of P If y=f(x) passes through Q(2, 3) , then the equation of the curve is

The curve y=f(x) in the first quadrant is such that the y - intercept of the tangent drawn at any point P is equal to twice the ordinate of P If y=f(x) passes through Q(2, 3) , then the equation of the curve is