Perform the indicated operation. Simplify, if possible.
\[
\frac{2 x+3}{3 x+9}+\frac{x}{9-x^{2}}
\]

Answer

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Answer

Final Answer: \(\boxed{\frac{2x^2 - 6x - 9}{3(x^2 - 9)}}\)

Steps

Step 1 ：Given the expression \(\frac{2 x+3}{3 x+9}+\frac{x}{9-x^{2}}\), we are asked to simplify it.

Step 2 ：We can use symbolic computation to simplify this expression.

Step 3 ：The simplified expression is \(\frac{2x^2 - 6x - 9}{3(x^2 - 9)}\).

Step 4 ：Final Answer: \(\boxed{\frac{2x^2 - 6x - 9}{3(x^2 - 9)}}\)