SOLUTION: Find the inverse of f(x)=2^x. What is the domain and range of f(x)=2^x and its inverse?

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Question 966877: Find the inverse of f(x)=2^x.
What is the domain and range of f(x)=2^x and its inverse?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=2%5Ex
Interchange x and y and solve for y.
This new y is the inverse.
x=2%5Ey
y=log%282%2C%28x%29%29
f%5E%28-1%29%28x%29=log%282%2C%28x%29%29=log%28%28x%29%29%29%2Flog%28%282%29%29
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Domain of f%28x%29 : (-infinity,infinity)
Range of f%28x%29: (0,infinity)
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Domain of f%5E%28-1%29%28x%29 : (0,infinity)
Range of f%5E%28-1%29%28x%29: (-infinity,infinity)
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