Show that the function `f: R ->R` is given by `f(x)=1+x^2` is not invertible.

Show that the function f : R rarr R defined by f(x)=x^2+4 is not invertible.

Show that the function f : R rarr R given by f(x) =x^2 is injective.

The function f:R to R given by f(x)=x^(2)+x is

The function f:R to R given by f(x)=x^(2)+x is

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

Let R+ be the set of all non negative real numbers. Show that the function f: R_(+) to [4, infty] given by f(x) = x^2 + 4 is invertible and write inverse of 'f'.

Show that the function f: R-{3}->R-{1} given by f(x)=(x-2)/(x-3) is a bijection.

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