First we write both functions:
f (a) = 5 + a ^ 2
g (a) = root (a-5) -2
By making the composition we have:
g (f (a)) = root ((5 + a ^ 2) -5) -2
Rewriting the function:
g (f (a)) = root (5 + a ^ 2-5) -2
g (f (a)) = root (a ^ 2) -2
g (f (a)) = lal-2
Answer:
The functions are:
f (a) = 5 + a ^ 2
g (a) = root (a-5) -2
option 3