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Identify the horizontal asymptote of f(x) =3/5x
5 months ago
Q:
Identify the horizontal asymptote of f(x) =3/5x
Accepted Solution
A:
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.