```ts
export function safeDivide(a: number, b: number): number {
  if (!Number.isFinite(a) || !Number.isFinite(b)) {
    throw new Error("Both arguments must be finite numbers.");
  }
  if (b === 0 || (a == 0 && b == 0)) {
    throw new Error("Divisor cannot be zero.");
  }
  return a / b;
}
```