Respuesta :

Answer:

  • B. f⁻¹(x) = 5x + 3

Step-by-step explanation:

Given function:

  • f(x) = (x - 3)/5

Find its inverse, substitute x with y and f(x) with x:

  • x = (y - 3)/5
  • 5x = y - 3
  • y = 5x + 3

Substitute y with f⁻¹(x):

  • f⁻¹(x) = 5x + 3

Correct choice is B

  • y=(x-3)/5

Interchange x and y and solve for y

  • x=y-3/5
  • 5x=y-3
  • y=5x+3

That's the inverse

Option B