Identify the horizontal asymptote of f(x) =3/5x

ANSWER

The horizontal asymptote is
[tex]y = 0[/tex]



EXPLANATION

The given function is
[tex]f(x) = \frac{3}{5x} [/tex]

This is a rational function which can be rewritten as,


[tex]f(x) = \frac{0x + 3}{5x} [/tex]


The horizontal asymptote can be found by expressing the coefficient of
[tex]x[/tex]

in the numerator over the coefficient of
[tex]x[/tex]
in the denominator.



Thus the horizontal asymptote is,
[tex]y = \frac{0}{5} [/tex]
This simplifies to
[tex]y = 0[/tex]

Therefore the horizontal asymptote of the given rational function coincides with the x-axis.


It is the red straight line in the attachment.