[tex] f(x) = \dfrac{4x - 3}{7} [/tex]
[tex] y = \dfrac{4x - 3}{7} [/tex]
[tex] x = \dfrac{4y - 3}{7} [/tex]
[tex] 7x = 4y - 3 [/tex]
[tex] 7x + 3 = 4y [/tex]
[tex] 4y = 7x + 3 [/tex]
[tex] y = \dfrac{7x + 3}{4} [/tex]
[tex] f^{-1}(x) = \dfrac{7x + 3}{4} [/tex]