quiz 3 lt2\ndetermine the vertical and horizontal asymptotes.\n$f(x)=\\frac{6}{x + 5}-3$\nvertical…
quiz 3 lt2\ndetermine the vertical and horizontal asymptotes.\n$f(x)=\\frac{6}{x + 5}-3$\nvertical asymptote: x=
Answer
); Horizontal asymptote: (y=-3)
Explanation:
Step1: Find vertical asymptote
For a rational function (y=\frac{a}{x - h}+k), vertical asymptote is (x = h). In (f(x)=\frac{6}{x + 5}-3=\frac{6}{x-(-5)}-3), so (h=-5).
Step2: Find horizontal asymptote
For a rational function (y=\frac{a}{x - h}+k), horizontal asymptote is (y = k). In (f(x)=\frac{6}{x + 5}-3), (k=-3).