functions Degree

Question

Given the functions R (arrow) R

f(x)=x+4 g(x)=1/2 h(x)=1/2

find

GoH

Answer 1

if g(x) = 1/2

g(h(x))

= g(1/2)

= 1/2

g(h(x)) = 1/2

f(x) and h(x) values are irrrelevant

h(g(x)) = 1/2

g(f(x)) = 1/2

h(f(x)) = 1/2

but

f(g(x)) = f(1/2) = 4.5

f(h(x)) = f(1/2) = 4.5