Answer: not my answer but an answer from ai, scan through, see if right, its all explained out for you
To evaluate g(f(5)), we first need to find the value of f(5) by substituting x = 5 into the definition of f(x):
f(x) = x^2 - 6x + 14
f(5) = 5^2 - 6(5) + 14
f(5) = 25 - 30 + 14
f(5) = 9
Now that we know that f(5) = 9, we can evaluate g(f(5)) by substituting 9 into the definition of g(x):
g(x) = x + 14
g(f(5)) = g(9)
g(f(5)) = 9 + 14
g(f(5)) = 23
Therefore, the value of g(f(5)) is 23.