I’m not the best at graphs but i did take algebra, i think it’s graph number 2. also i’m sorry if it’s wrong:(
Answer: The Horizontal asymptote of f(x) and g(x) is y=0. The third option is correct.
Explanation:
it is given that the using the rules of transformations to compare the graphs of the functions,


The graph of f(x) vertically stretch by factor 5 and shifts 1 unit right to transform g(x).
To find vertical asymptotes equate denominator equal to 0.


Therefore the function f(x) has vertical asymptote x=0, and g(x) has vertical asymptote x=1. So their is not common vertical asymptote.
To find horizontal asymptotes put
.


Therefore, the function have common horizontal asymptote, i.e., y=0.
If this person works a normal week plus overtime hours, then an equation for his total earnings would be
S(y) = ($6/hr)(40 hrs) + ($9/hr)y, where y is the # of overtime hours worked.