Question

what is the inverse of h(x)= 2 sqrt.(x+3)

Answer 1

h(x) is same as y
so you can replace h(x) with y \[\huge\rm \color{Red}{y}=2\sqrt{\color{blue}{x}+3}\] to find inverse `switch x and y`
\[\huge\rm \color{blue}{x}=2\sqrt{\color{red}{y}+3}\]
now solve the equation for y