Answer:
(-∞,7) U (7,∞)
Explanation:
f(x)= x+2
g(x) = x-7

Here we have x-7 in the denominator
To find domain we set the denominator =0 and solve for x
x-7=0
Add 7 on both sides
x=7
x=7 makes the denominator 0 that is undefined
So we ignore 7 for x
Hence domain is
(-∞,7) U (7,∞)