Find the asymptotes of the graph y = 1/(f)x. Format your answer as follows: list the x-coordinates of any vertical asymptotes of y=1/f(x), then the righthand side of the slope-intercept form of the equation of any horizontal or oblique asymptote. For instance, if you find y = 1/f(x) has asymptotes x = 3, x = 5, and y = −x + 2, then answer ”3,5,-x+2”.

Chadly Jun 15, 2024

#1**0 **

Analyzing f(x) and Asymptotes:

1. Vertical Asymptotes:

f(x) = 0 when x = 0. Since dividing by zero is undefined, this means there's a vertical asymptote at:

x = 0

2. Horizontal Asymptotes:

The degree of the numerator (1) is less than the degree of the denominator (2) in f(x). Following the first case mentioned earlier:

The horizontal asymptote of y = 1/(f(x)) is y = 0 (the x-axis).

3. Oblique Asymptotes:

The degree of the numerator isn't one greater than the degree of the denominator. Therefore:

There are no oblique asymptotes.

In conclusion:

Vertical asymptote: x = 0

Horizontal asymptote: y = 0

Rangcr897 Jun 15, 2024