Verified answer

G(F(x))=sqrt(1/(sqrt(x-6)-3))

the domain is:

sqrt(x-6)-3>0 /+3

sqrt(x-6)>3 /²

x-6>9 /+6

x>15

First you know g(x) = spr(1/(x-3)) and f(x) = spr(x-6)

so you first put f(x) into g(f(x)) so you get g(f(x)) = spr(x-6)

then where ever you see x in g(x) you put in f(x) which gives you

g(f(x)) = sprt(1/(spr(x-6)-3)

Hope that helped

u got it rite