theoneandonlyallir theoneandonlyallir
  • 22-10-2021
  • Mathematics
contestada


Select the equation that is the inverse of the given function.
X-3
f(x) =
5
f-1(x) = 5x +15
O f-1(x) = 5x + 3
f-1(x) = 3x - 5
o 4-16x) = x

Select the equation that is the inverse of the given function X3 fx 5 f1x 5x 15 O f1x 5x 3 f1x 3x 5 o 416x x class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 22-10-2021

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

Answer Link
Аноним Аноним
  • 14-07-2022
  • 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

Answer Link

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