Question is the image :

Answer:
x can be any real number except -5 and 7
Step-by-step explanation:
x is in the denominator and denominator cannot be 0
so 6 - |x-1| cannot be 0
==> |x-1| cannot be 6
because it's absolute value, so
x-1 cannot be 6 & x-1 cannot be -6
which give us the answer x cannot be 7 and x cannot be -5
so the answer is x can be any real number except -5 and 7