Find `f(2) `,if `2f(x)-3f(1/x)=x^2` for `x ne 0`.

Find f {f (x)} if f(x)=(x+1)/(x-1)

Find y=(f(f(x))) if f(x)=1/(1-x)

Find f {f (x)} if f(x)=(2x+1)/(3+x)

find the points of discontinuity of the function f defined by f(x) = {(x^3 - 3, x le 2),(x^2 + 1, x > 2):}

Let g:RrarrR and f:RrarrR is defined as f(x)=2x and g(x)=x^2 . Find f0g and g0f .

If the function f(x)={{:((sin x)/(x) + cos x", if " x ne 0 ), (k", if " x =0 ):} is continuous at x=0, then find the value of k.

Find f0g and g0f : f(x)=x+1 , g(x)=cosx

If f (x) = f(x)={(x^2sin, 1/x,x ne0),(0, x=0, ):} Show that f is differentiable and continuous at x=0