Cauchy–Riemann gives g₁=f′ and g₂=i·conjugate(f′). Hence g₁ is always analytic. For nonconstant f′, its conjugate is not analytic, yielding the official **B**. The printed condition “f nonconstant” still permits an affine f(z)=az+b,a≠0; then both g₁,g₂ are constant and analytic. Thus B implicitly requires f to be non-affine. This exception is disclosed without changing the official grade.
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