graph the functions using a graphing tool, to better understand the problem
see the attached figure
please wait a minute to draw the functions
Verify each function
f(x) -------> has a vertical asymptote
g(x)-----> has a horizontal asymptote
h(x) -----> has a horizontal and a vertical asymptote
j(x) -----> has not asymptote
therefore
the answer is g(x)