Can someone Please check these? Are these answers correct on compositions?

Question

Suppose the functions h and f are defined as follows:

h(x)=2/x, x not equal sign 0
f(x)=x^2-6

(hoh)(x)=h(2/x) = 2/(2/x) = 2•(x/2) = x
(fof)(x)=approx. sign 2+79/100

Please Find the compositions hoh and fof.
Simplify answer as much as possible.
Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.
Thank you very much

Answer 1

h o h(x) appears correct

f o f(x) = (x² - 6)² - 6