broccoli128
broccoli128 broccoli128
  • 15-11-2021
  • Mathematics
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Find the inverse (pre-calc)

Find the inverse precalc class=

Respuesta :

altavistard
altavistard altavistard
  • 15-11-2021

Answer:

f^(-1)(x) = e^(x/3)

Step-by-step explanation:

1.  Replace 'f(x)' by 'y:'  y = 3ln x

2. Interchange x and y:  x = 3ln y => x/3 = ln y

3. Solve for y:  

   e^(x/3) = y

4.  Replace this 'y' with 'f^(-1)(x)'

    Then f^(-1)(x) = e^(x/3)

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