Answer:
[tex] {f}^{ - 1} (x)= - \frac{4}{3} x + 8[/tex]
Step-by-step explanation:
[tex]f(x) = - \frac{3}{4} x + 6[/tex]
[tex]y = - \frac{3}{4} x + 6[/tex]
[tex]x = - \frac{3}{4} y + 6[/tex]
[tex] - \frac{3}{4} y + 6 = x[/tex]
[tex] - 3y + 24 = 4x[/tex]
[tex] - 3y = 4x - 24[/tex]
[tex]\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}[/tex]
