Identify the domain and range of the inverse of f (x) = 0.5^x.

Question

Mathematics

Logan Curry

5 January, 15:24

Identify the domain and range of the inverse of f (x) = 0.5^x.

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Answers (1)

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Phoenix Joyce · Answer 1

Domain (0, ∞) and Range (-∞, ∞).

Step-by-step explanation:

The domain of f (x) = 0.5^x is all values of x and the range is f (x) >0 as 0.5^x cannot be negative or zero.

In interval form this is Domain is (-∞, ∞) and Range is (0, ∞).

So its inverse has Domain (0, ∞) and Range (-∞, ∞).