Respuesta :

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