# What are the x and y intercepts y= x+2/x-7 rational

what are the x and y intercepts

y= x+2/x-7

rational expression

is y=-2/7
and x= -2

you find x intercepts by letting y=0, and y intercepts by letting x=0.

you find x intercepts by letting y=0, and y intercepts by letting x=0.

That is the general approach to these problems, but notice that the function is not defined at x=0.

What do you think this means jeahomgrajan? How would you go about finding the x-intercept, i.e. setting y=0 as sutupidmath mentioned and then solving for x?

That is the general approach to these problems, but notice that the function is not defined at x=0.
i interpreted the function as:

$$y=x+\frac{2}{x-7}$$

i interpreted the function as:
$$y=x+\frac{2}{x-7}$$

I see. Gotcha :) Gotta love $\LaTeX$.

symbolipoint
Homework Helper
Gold Member

The original equation as written means exactly:

y = x + $$\frac{2}{x}$$ - 7

The original equation as written means exactly:

y = x + $$\frac{2}{x}$$ - 7

We know that. sutupidmath misread the original equation, and that's what that post was about. Please see my original post jeahomgrajan.

HallsofIvy
Homework Helper

What was originally written would be strictly interpreted as
$$y= x+ \frac{2}{x}-7$$
But, considering how many people just hate to use parentheses, it could also be interpreted as "x+ 2/(x- 7)"
$$y= x+ \frac{2}{x- 7}$$
or even as "(x+2)/(x- 7)"
$$y= \frac{x+ 2}{x- 7}$$

Unfortunately, jeahomgrajan hasn't got back to say which he/she meant, but the fact that he/she suggested y= -2/7 and x= -2 as intercepts suggests what sutupidmath assumed was meant.