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FromTheMoon [43]
3 years ago
12

If f(x) = 2/3x + 9, find f^-1(x)

Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

  • Option D

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = 2/3x + 9

<u>Find its inverse:</u>

  • x = 2/3*f⁻¹(x) + 9
  • 2/3*f⁻¹(x) = x - 9
  • f⁻¹(x)  = 3/2(x - 9)
  • f⁻¹(x) = 3/2x - 27/2

Correct choice is D

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See attachment for the graph the function.

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