SOLUTION: Find a formula for the inverse of the function.
y = e^(4 − x)
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Question 1196625: Find a formula for the inverse of the function.
y = e^(4 − x)
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find a formula for the inverse of the function.
to find inverse swap the variables
..........solve for , take natural logarithm of bot sides
..............
-> inverse
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The response from the other tutor shows the method which is usually taught for finding the inverse of a function: switch the x and y and solve for the new y.
Another method which is often easier is to use the idea that an inverse function "un-does" what the function does.
The given function does the following to the input variable:
(1) subtract 4 -->
(2) multiply by -1 -->
(3) raise e to that power -->
The inverse function must do the opposite operations, in the opposite order:
(1) take natural log -->
(2) multiply by -1 -->
(3) add 4 -->
ANSWER: The inverse function is
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