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The Inverse Function
We are given the function:
f(x) = 11 - x
It's required to compute the inverse function of f.
We'll follow the steps below:
1. Call y=f(x):
y = 11 - x
2. Solve for x
Add x:
y + x = 11
Subtract y:
x = 11 - y
3. Swap letters:
y = 11 - x
4. Substitute y for the inverse of f:
[tex]f^{-1}(x)=11-x[/tex]Note the inverse and the original function have the same expression