3 years ago

Find the inverse (pre-calc)

Mathematics

1 answer:

denis-greek [22]3 years ago

8 0

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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