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

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what are the x and y intercepts

y= x+2/x-7

rational expression

is y=-2/7
and x= -2
 
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you find x intercepts by letting y=0, and y intercepts by letting x=0.
 


sutupidmath said:
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?
 


n!kofeyn said:
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}
 


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

I see. Gotcha :) Gotta love \LaTeX.
 


The original equation as written means exactly:

y = x + \frac{2}{x} - 7
 


symbolipoint said:
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.
 


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.
 

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