Prove that the function `f:R - {-1} to R -{1}`, defined by `f(x)=(x)/(x+1)` is invertible.

Prove that the function f : R to R defined by f(x)= 2x+ 7 , is invertible. Hence find f^(-1)

The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

Prove that the function f: R^(+) rarr [-5, oo) defined by f(x)= 9x^(2) + 6x-5 , is invertible

Prove that the function f: [0,oo)rarr R , given by f(x) =9x^(2) +6x -5 is not invertible. Modify the codomain of the functions to make it invertible, and hence find f^(-1)

Consider the function f:R -{1} to R -{2} given by f {x} =(2x)/(x-1). Then

Show that the function f : R to defined by f (x) = x^(3) + 3 is invertible. Find f^(-1) . Hence find f^(-1) (30)

Show that the function f: R->{x in R :-1ltxlt1} defined by f(x)=x/(1+|x|),x in R is one-one and onto function.

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

Prove that the function f: R->R defined as f(x)=2x-3 is invertible. Also, find f^(-1) .

Show that the function f: Q->Q defined by f(x)=3x+5 is invertible. Also, find f^(-1) .