Respuesta :

mhanifa

Answer:

  • g(x) = x² + 20x + 106

Step-by-step explanation:

Given:

  • [tex]f(x) =\sqrt{x-6}-10[/tex]

If g(x) is the inverse of f(x), find it.

Swap x with g(x) and f(x) with x:

  • [tex]x =\sqrt{g(x)-6}-10[/tex]

Solve for g(x):

  • [tex]x + 10 = \sqrt{g(x)-6}[/tex]
  • [tex](x+10)^2=g(x)-6[/tex]
  • [tex]g(x) = x^2+20x + 100+6[/tex]
  • [tex]g(x) = x^2+20x + 106[/tex]

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