Step-by-step explanation:
f(x) = -5x - 30
[tex] \: [/tex]
Invers
[tex]y = - 5x - 30[/tex]
[tex]x = - 5y - 30[/tex]
[tex]x + 30 = - 5y[/tex]
[tex]y = - \frac{x}{5} - \frac{30}{5} [/tex]
[tex]y = - \frac{x}{5} - 6[/tex]
[tex] {f}^{ - 1} (x) = - \frac{x}{5} - 6[/tex]