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Find a formula for the inverse of the function.y = e8 − xy =

Question

Find a formula for the inverse of the function.y = e8 − xy =

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Solution

The function you've given seems to be incomplete. It's currently written as "y = e8 - xy", which doesn't make sense mathematically.

If you meant "y = e^(8-x)", the inverse can be found as follows:

  1. Replace y with x in the original equation: x = e^(8-y)
  2. Solve for y: Take the natural logarithm (ln) of both sides to get rid of the exponential on the right side. This gives you ln(x) = 8 - y.
  3. Solve for y by subtracting 8 from both sides and multiplying by -1: y = 8 - ln(x)

So, the inverse of the function y = e^(8-x) is y = 8 - ln(x).

If the function is different, please provide the correct function so I can help you find the inverse.

This problem has been solved

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