```typescript
/** Returns the division of `a` by `b`. Throws if either `a` or `b` is not finite. */
export function safeDivide(a: number, b: number): number {
  if (isNaN(b)) {
    throw new Error('Cannot divide by zero');
  }
  
  if (!isFinite(a) || !isFinite(b)) {
    throw new Error('Both arguments must be finite numbers');
  }
  
  return a / b;
}
```