Mathematics - Functions Question with Solution | TestHub

$\mathrm{y}=(\mathrm{x}+2{)}^2$ Equation of the reflection curve in $\mathrm{y}=\mathrm{x}$ is obtained by interchanging x and y in $\mathrm{y}=(\mathrm{x}+2{)}^2$ ⇒ reflection curve is

$\begin{array}{llcc}\mathrm{x}& =(\mathrm{y}+2{)}^2\mathrm{y}+2=\sqrt{\mathrm{x}}& \mathrm{y}& =\sqrt{\mathrm{x}}-2,\mathrm{x}\ge 0\end{array}$ Since x is always $\ge 2$.