2. Find the inverse of the function f(x)=sqrt (x)+1

To find the inverse of the function $f(x)=\sqrt{x}+1$, we need to follow these steps:<br /><br />1. Replace $f(x)$ with $y$: $y=\sqrt{x}+1$<br />2. Swap $x$ and $y$: $x=\sqrt{y}+1$<br />3. Solve for $y$:<br /> - Subtract 1 from both sides: $x-1=\sqrt{y}$<br /> - Square both sides: $(x-1)^2=y$<br /><br />So, the inverse function is $f^{-1}(x)=(x-1)^2$.