The first thing that we need to remember to solve this proble is the definition of (goh)(x) and (hog)(x):
[tex](h\circ g)(x)=h(g(x))[/tex]And:
[tex](g\circ h)(x)=g(h(x))[/tex]with those definition in mind we can easily calculate the answer:
[tex](g\circ h)(x)=g(h(x))=g(x^2-5)=-(x^2-5)-1=-x^2+4^{}[/tex]and:
[tex](h\circ g)(x)=h(g(x))=h(-x-1)=(-x-1)^2-5=x^2+2x-4[/tex]