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

If f(x) = 2/3x + 9, find f^-1(x)
asked 52.4k views
1 vote
If f(x) = 2/3x + 9, find f^-1(x)

If f(x) = 2/3x + 9, find f^-1(x)-example-1
asked
User Dominic Nguyen
by
7.6k points

1 Answer

4 votes

Answer:

  • Option D

Explanation:

Given function:

  • f(x) = 2/3x + 9

Find its inverse:

  • 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

answered
User Maumercado
by
7.5k points
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