AnonymousValor
AnonymousValor AnonymousValor
  • 16-08-2020
  • Mathematics
contestada

If f(x)=2x+1/x-4, what is the value of f^-1(3)?

If fx2x1x4 what is the value of f13 class=

Respuesta :

oscar236
oscar236 oscar236
  • 16-08-2020

Answer:

D. 13.

Step-by-step explanation:

f(x)=2x+1/x-4

let y = 2x + 1 / x - 4

xy - 4y = 2x + 1

xy - 2x = 4y + 1

x(y - 2) = 4y + 1

x = (4y + 1)/(y - 2)

So f^-1(x) = (4x + 1)/(x - 2)

and f^-1(3) = (4(3) + 1) / (3 - 2)

= 13/1

= 13.

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