Conformal Mapping - Images - W=2z+3/z-4 changes the circle x²+y²-4x=0 into the straight line 4u+3=0

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Show that w= 2z+3/z-4 maps the Circle x²+y²-4x=0 onto the straight line 4u+3=0. CONFORMAL MAPPING Show that w= 2z+3/z-4 maps the Circle x²+y²-4x=0 onto the straight line 4u+3=0. CONFORMAL MAPPING
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