Question

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

Answer 1

Y=0

I think I would know

Answer 2

Horizontal asymptote is y =0

Explanation:

Given is a function as

`f(x) = (3)/(5x)`

with x in the denominator.

Obviously we can find the vertical asymptote by equating denominator to 0

i.e. x=0 or y axis is the vertical asymptote

To find horizontal asymptote:

Let us write x in terms of y and find any exception to y

From given function we can write

x=3/5y

Here x becomes undefined for y=0

so horizontal asymptote is y=0