- #1

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## Main Question or Discussion Point

I have this equation:

[tex]\frac{x+2}{x^2+3}-0.3[/tex]

I don't want to solve it, but I have drawn it's graph on a graph program, and there is a line that is little below the x-axis; and when I scroll to the left of the graph, it seems that at more negative values the line is getting higher and higher.

My question is that how can I know whether it will touch the x-axis or not. In other words, how can I know how many solutions there are to this function?

[tex]\frac{x+2}{x^2+3}-0.3[/tex]

I don't want to solve it, but I have drawn it's graph on a graph program, and there is a line that is little below the x-axis; and when I scroll to the left of the graph, it seems that at more negative values the line is getting higher and higher.

My question is that how can I know whether it will touch the x-axis or not. In other words, how can I know how many solutions there are to this function?