What is the domain of the function log(x-4) +4?

The log of 0 is not defined, so the criterion to use here is that the input to the log function must be greater than zero.  

Thus, x-4 ≥ 0, or x ≥ 4 (answer)

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*