Answer:
B. [tex] {f}^{ - 1} (x) = \frac{1}{3} x + 2[/tex]
Step-by-step explanation:
[tex]f(x) = 3x - 6[/tex]
[tex]y = 3x - 6[/tex]
[tex]x = 3y - 6[/tex]
[tex]3y - 6 = x[/tex]
[tex]3y = x + 6[/tex]
[tex]y = \frac{1}{3} x + 2[/tex]
[tex]\boxed{\green{ {f}^{ - 1} (x) = \frac{1}{3} x + 2}}[/tex]
