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:
- Replace y with x in the original equation: x = e^(8-y)
- 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.
- 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.
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