```ts
export function safeDivide(a: number, b: number): number {
  if (isNaN(a) || isNaN(b)) throw new Error("Both arguments must be finite numbers.");
  const divisor = Math.abs(b);
  if (divisor === 0 && a !== 0) throw new Error("The divisor cannot be zero.");

  return a / divisor;
}
```