Answer:
[tex]{f}^{ - 1} (x)= \frac{x}{2} - 2[/tex]
Step-by-step explanation:
The given function is
[tex]f(x) = 2x + 4[/tex]Let
[tex]y = 2x + 4[/tex]
Interchange x and y.
[tex]x = 2y + 4[/tex]
Solve for y,
[tex]x - 4 = 2y[/tex]
Divide both sides by 2
[tex]y = \frac{x}{2} - 2[/tex]
Therefore;
[tex] {f}^{ - 1} (x)= \frac{x}{2} - 2[/tex]