Question

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

Answer 1

Answer:

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 (-∞, ∞).