If `f : [-1,prop[rarr[-1,prop[, f(x)=(x+1)^2-1`, find the set ` S = {x : f(x)=f^-1(x)}`.

If f(x)=(x-1)/(x+1) ,then show that f(-1/x)=-1/f(x) .

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

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

If f(x)=(x-1)/(x+1) ,then show that f(1/x)=-f(x) .

If f(x)=x tan^(-1) x , then what is f'(1) ?

If f : [-1,1] rarr R, f(x)=x/(x+2) , show that f is one-one and find the inverseof f : [-1,1] rarr range of f.

If f : Q -> Q, f(x)=x^3 , find f^-1(0)

Find the domain and range of f if . f(x)=1/(x^2-1)

Find f0g and g0f : f(x)=x^2+2 , g(x)=1-1/(1-x)

Givem f(x)= x^2-1 and g(x)= (x+1)/2 find f(3)/(f(3)+g(3)) .