Posted by Debra on .
Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(x^2+3x+9)/(x1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all work. 3. Discuss the conditions needed for a rational function to contain a slant asymptote.

Algebra 
bobpursley,
f is any x except x=4, g is any x except x=1
range, consider f
f when x=inf ; f= (inf)^2/inf
when x=+inf; f= (inf)^2/inf
so range of f is inf to inf
consider g
when x=inf; ginf^2/inf= inf
x=+inf; g= inf^2/inf= inf
range is inf to inf