Respuesta :

Answer:

  • Option D

Step-by-step explanation:

Given function:

  • f(x) = 2/3x + 9

Find its inverse:

  • x = 2/3*f⁻¹(x) + 9
  • 2/3*f⁻¹(x) = x - 9
  • f⁻¹(x)  = 3/2(x - 9)
  • f⁻¹(x) = 3/2x - 27/2

Correct choice is D