Show that the image of the open disk D (-1-i) = (z: |z+1+i | < 1}...

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Show that the image of the open disk D₁ (-1-i) = (z: |z+1+i | < 1} under the linear transformation w= f (z) = (3-4 i) z + 6+2 i is the open disk {w: | w+1-31 | <5). Show that the image of the open disk D₁ (-1-i) = (z: |z+1+i | < 1} under the linear transformation w= f (z) = (3-4 i) z + 6+2 i is the open disk {w: | w+1-31 | <5).

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