Question

F(x)= x+5 ——— X3+27 Find the horizontal asymptote....

Answer 1

Answer: $y=0$

Step-by-step explanation:

The given function is a rational function:

To solve the given problem you must keep on mind that:

-  An asymptote is define as a line that the graph of the function approaches but never touches.

- In rational functions, if the degree of the polynomial in the numerator is lower than the degree of the polynomial in the denominator, then  the horizontal asymptote is located at y=0.

In the given function, the degree of the polynomial in the numerator (which is 1) is lower than the degree of the polynomial in the denominator (whic h is 2). Therefore, the horizontal asymptote is located at $y=0$