Find the inverse of f(x)= √x-2 where the domain is D=[2, ∞]. Write the whole process

Answer :

Solution:

Given the function;

[tex]\begin{gathered} f(x)=\sqrt{x-2} \\ \\ D=[2,\infty) \end{gathered}[/tex]

Let y=f(x);

Thus;

[tex]\begin{gathered} y=\sqrt{x-2} \\ \\ \text{ Swap x and y;} \\ \\ \end{gathered}[/tex][tex]undefined[/tex]