Answer: y = 0
Step-by-step explanation:
Given function,
[tex]f(x) = \frac{15}{1+4e-0.2x}[/tex]
Which is an exponential function,
And, for an exponential function there is only horizontal asymptote exists,
For the horizontal asymptote,
[tex]y=\lim_{x \to \infty} f(x)[/tex]
[tex]y=\lim_{x\to \infty} \frac{15}{1+4e-0.2x}[/tex]
[tex]y = \frac{15}{1+4e-0.2\times \infty}[/tex]
[tex]y = \frac{15}{ \infty}[/tex]
[tex]y = 0[/tex]
Thus, Third option is correct.
