```ts
/** A divided by b. */
export function safeDivide(a: number, b: number): number {
  if (typeof a !== 'number' || typeof b !== 'number') {
    throw new Error('Both arguments must be numbers');
  }
  if (a === Infinity || a === -Infinity || isNaN(a) || b === Infinity || b === -Infinity || isNaN(b)) {
    throw new Error('Arguments must be finite numbers');
  }
  if (b === 0) {
    throw new Error('Divisor cannot be zero');
  }
  return a / b;
}
```