MATH SOLVE

3 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.

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.