For each of the following functions, determine the image of corresponding domain set A using the...

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For each of the following functions, determine the image of corresponding domain set A using the method seen in class. Include sketches of the domain and range sets to justify your answers. (a) f(z) = 3iz-2, A = {(x, y): y = x - 1} (b) f(z) = (1 - 2i)z + (3 + i), A = {(x, y): y = 3x + 2} (c) f(z) = 2z+ 5i, A = {(x, y): Re(z) ≥ 3} (d) f(z) = 4 - 2iz, A = {(x, y): Re(z) <-1} (e) f(z) = 3z + (2 + i), A = {(x, y): Im(z) ≤ 2} (f) f(z) = -z + 4i, A = {(x, y): √x² + y² <1} 5-3z (g) f(z) z+6 = ,A = {(x, y): √x² + y² ≤ 1} For each of the following functions, determine the image of corresponding domain set A using the method seen in class. Include sketches of the domain and range sets to justify your answers. (a) f(z) = 3iz-2, A = {(x, y): y = x - 1} (b) f(z) = (1 - 2i)z + (3 + i), A = {(x, y): y = 3x + 2} (c) f(z) = 2z+ 5i, A = {(x, y): Re(z) ≥ 3} (d) f(z) = 4 - 2iz, A = {(x, y): Re(z) <-1} (e) f(z) = 3z + (2 + i), A = {(x, y): Im(z) ≤ 2} (f) f(z) = -z + 4i, A = {(x, y): √x² + y² <1} 5-3z (g) f(z) z+6 = ,A = {(x, y): √x² + y² ≤ 1}