how do you find the inverse of f(X)=2^ -x ?

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- Sep 17th 2008, 10:35 PMericchung912inverse functions
how do you find the inverse of f(X)=2^ -x ?

- Sep 17th 2008, 10:59 PMSoroban
Hello, ericchung912!

Quote:

How do you find the inverse of: . ?

We have: .

Replace with

Switch*x*'s and*y*'s: .

Solve for*y*: .

Take logs: .

Therefore: .