Respuesta :

roohafzah

Answer :

  • g^-1(x) = (9x^2 -126x + 441)/4

Explanation :

  • g(x) = 2√x/3 + 7

replace g(x) with y

  • y = 2√x/3 + 7

swap x and y

  • x = 2√y/3 + 7

isolate y

  • x - 7 = 2√y/3 + 7 - 7
  • 3(x - 7) = 3*2√y/3
  • 3x - 21 = 2√y
  • (3x - 21)^2 = (2√y)^2
  • 9x^2 -126x + 441 = 4y
  • y = (9x^2 -126x + 441)/4
  • g^-1(x) = (9x^2 -126x + 441)/4