Question

Which domain restrictions apply to this rational expression? x² / (x⁶ + 2x - 3)

1) x ≠ -1
2) x ≠ 1
3) x ≠ 3
4) x ≠ -2
5) x ≠ 2
6) x ≠ -3

Answer 1

The domain restrictions that apply to the rational expression x² / (x⁶ + 2x - 3) are x ≠ -1, x ≠ 1, x ≠ 3, x ≠ -2, x ≠ 2, and x ≠ -3.

Step-by-step explanation:

The domain restrictions that apply to the rational expression x² / (x⁶ + 2x - 3) are:

1. x ≠ -1
2. x ≠ 1
3. x ≠ 3
4. x ≠ -2
5. x ≠ 2
6. x ≠ -3

These restrictions are determined by the values that cause the denominator to be equal to zero, as division by zero is undefined.