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

ANSWER

The horizontal asymptote is


EXPLANATION

The given function is


This is a rational function which can be rewritten as,



The horizontal asymptote can be found by expressing the coefficient of


in the numerator over the coefficient of

in the denominator.

Thus the horizontal asymptote is,

This simplifies to


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

It is the red straight line in the attachment.

y=0

Step-by-step explanation:

We are given that a rational function

We have to find the horizontal asymptote of the given function.

The function can be written as

Degree of numerator polynomial=0

Degree of denominator polynomial=1

Degree of numerator polynomial is less than the degree of denominator polynomial.

When degree of numerator polynomial is less than the degree of denominator polynomial then,

Horizontal asymptote=y=0

Therefore, horizontal asymptote=0

Answer
The answer is false