```
/** A safe division function that throws an error for invalid inputs. */
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) {
    throw new Error("Cannot divide by zero.");
  }
  
  return a / b;
}
```