Determine whether the following operators are linear or nonlinear: a. Af(x)= SQRf(x)[square f(x)] b. Af(x)= f*(x)[form the complex conjugate of f(x)] c. Af(x)=0[multiply f(x) by zero] d. Af(x)=[f(x)]-1[take the reciprocal of f(x)] e. Af(x)= f(O)[evaluate f(x) at x =0] f. Af(x)= ln f(x)[take the logarithm of f(x)] Note that: A linear operator which satisfies the following conditions A(f(x)+g(x))= Af(x)+ Ag(x) Acf(x)= cAf(x) where c is a constant