if f(x) = 2x+4, which of the following is the inverse of f(x)?
O A. F'(x) = 2(x-4)
O B. F-1(0) = Yexa?
O C. F"(x) = POMMAD
O D. F1(x) = T(x+4)

Respuesta :

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]

ACCESS MORE