Let  𝑓1(𝑧) = 𝑧2    and  𝑓2(𝑧) = 𝑧̅ be two complex variable functions

Q. Let  𝑓₁(𝑧) = 𝑧²    and  𝑓₂(𝑧) = 𝑧̅ be two complex variable functions. Here 𝑧̅   is the complex conjugate of z. Choose the correct answer.

A. Both 𝑓₁(𝑧) and 𝑓₂(𝑧) are analytic

B. Only 𝑓₁(𝑧) is analytic

C. Only 𝑓₂(𝑧) is analytic

D. Both 𝑓₁(𝑧) and 𝑓₂(𝑧) are not analytic

Ans: Only 𝑓1(𝑧) is analytic