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leonid [27]
2 years ago
6

If g is the inverse of the function f(x) = sqrt(x - 6) - 10 , which of the following is g?

Mathematics
1 answer:
iren2701 [21]2 years ago
3 0

Answer:

  • g(x) = x² + 20x + 106

Step-by-step explanation:

<u>Given:</u>

  • f(x) =\sqrt{x-6}-10

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

<u>Swap x with g(x) and f(x) with x:</u>

  • x =\sqrt{g(x)-6}-10

<u>Solve for g(x):</u>

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

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