hi! i have to write down the domain, image set of g^-1(inverse function and find it's rule

g(x)=1/4(x+2)^2 - 4 (0<_ x<_ 4)

(<_ is the only way i know to write more than or equal to or less than n equal to)

i have already drawen a graph for G(x)= 1/4 (x+2) ^2 - 4 but then without an image set would the graph of the reverse be the same shape but flipped in the 45dergree angle ??

please trt n break it down i dont just want the anwser i really wanna be able to understand how to do this in the future

thanx xx