Answer:
[tex] {f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9} [/tex]
Step-by-step explanation:
[tex]f(x) = 8 - 9x[/tex]
[tex]y = 8 - 9x[/tex]
[tex]x = 8 - 9y[/tex]
[tex]8 - 9y = x[/tex]
[tex] - 9y = x - 8[/tex]
[tex]y = - \frac{1}{9} x + \frac{8}{9} [/tex]
[tex] \boxed{\green{{f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9}}} [/tex]
