```
/** Safely divides two numbers. Throws an Error if the divisor is zero or if either argument is not finite. */
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('Division by zero is not allowed.');
  }
  
  return a / b;
}
```