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Find the inverse of. F(x)= 4x-3 /2 it's supposed to be over 2 with the line under 3

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f(x)=4x-(3)/(2)\\\\4x-(3)/(2)=y\ \ \ \ |add\ (3)/(2)\ to\ both\ sides\\\\4x=y+(3)/(2)\ \ \ \ |divide\ both\ sides\ by\ 4\\\\x=(1)/(4)y+(3)/(8)\\\\Answer:\boxed{f^(-1)(x)=(1)/(4)x+(3)/(8)}
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