Consider the following functions: 1. $f(x)=x^3, x \in \mathbb{R}$ 2. $f(x)=\sin x, 0 \lt x \lt 2 \pi$ 3. $f(x)=e^x, x \in \mathbb{R}$ Which of the above functions have inverse defined on their ranges?

• A

  1 and 2 only
• B

  2 and 3 only
• Correct answer
  C

  1 and 3 only
• D

  1, 2 and 3

Hence, the correct answer is option: 'C'.