ANSWER
p
[tex]{f}^{ - 1} (x) = 3x + 4[/tex]
EXPLANATION
The line r has equation,
[tex]f(x) = \frac{x - 4}{3} [/tex]
The line that represents
[tex] {f}^{ - 1} [/tex]
is p.
To find the equation of p, we let
[tex]y = \frac{x - 4}{3} [/tex]
We now interchange x and y.
[tex]x= \frac{y - 4}{3} [/tex]
We solve for y,
[tex]3x=y - 4[/tex]
[tex]y = 3x + 4[/tex]
Therefore
[tex] {f}^{ - 1} (x) = 3x + 4[/tex]
