Statement 1: let  $f:[0,3]\to [1,13]$  is defined by  $f\left(x\right)=x^2+x+1$, then inverse is  $f^{-1}\left(x\right)=\frac{-1+\sqrt{4x-3}}{2}$

Statement 2: many one function is not invertible.

Statement 1 incorrect  and statement 2 is correct

Both statement 1 and statement 2 are correct

Statement 1 is correct and statement 2 is incorrect.

Statement 1 is incorrect and statement 2 is incorrect.