Ответ:
Вычисляем значение выражения \(\frac{x+5}{x-3}\) для каждого значения \(x\):
| \(x\) | \(-13\) | \(-5\) | \(-0,2\) | \(0\) | \(\frac1{17}\) | \(1\) | \(5\frac23\) | \(7\) |
|---|---|---|---|---|---|---|---|---|
| \(\frac{x+5}{x-3}\) | \(\frac47\) | 0 | \(\frac{26}{16}\) | \(-\frac53\) | \(-\frac{43}{50}\) | \(-3\) | \(\frac{32}{8}\) | 3 |
Сократим дроби: \(\frac{26}{16}=\frac{13}{8}\), \(\frac{32}{8}=4\).
Ответ: \(\frac47;\ 0;\ \frac{13}{8};\ -\frac53;\ -\frac{43}{50};\ -3;\ 4;\ 3\).
