| x−1 | ||
f(x)=arcsin | ||
| 3x+2 |
| 2 | ||
3x≠−2⇔x≠− | ||
| 3 |
| (x−1) | ||
−1 ≤ | ≤1⇔ | |
| (3x+2) |
| x−1 | x−1 | ||
≥−1 i | ≤1 | ||
| 3x+2 | 3x+2 |
| x−1 | x−1 | ||
+1≥0 i | −1≤0⇔ | ||
| 3x+2 | 3x+2 |
| x−1+3x+2 | x−1−3x−2 | ||
≥0 i | ≤0⇔ | ||
| 3x+2 | 3x+2 |
| 2 | ||
(4x+1)*(3x+2)≥0 i (−2x−3)*(3x+2)≤0 i x≠− | ||
| 3 |
| 1 | 2 | 3 | 2 | |||||
Miejsca zerowe: − | ,− | − | , − | |||||
| 4 | 3 | 2 | 3 |
| 3 | 1 | |||
x∊(−∞,− | > ∪<− | ,∞) | ||
| 2 | 4 |