Q 25. - Precalculus Enhanced with Graphing Utilities

Question

Find the inverse of one-to-one function. State the domain and the range of inverse function. 

Step-by-Step Solution

Answer

Inverse of given function is 

Domain of inverse function is $\left\{460.00, 202.01, 196.46, 191.02, 182.87\right\}$

Range of inverse function is { Mt Waialeale, Hawaii, Monrovia, Liberia, Pago Pago, American Samoa, Lae, Papua New Guinea} 

Step 1. Definition of inverse function

The function is one-to-one. To find the inverse function, we interchange the elements in the domain with the elements in the range. 

The inverse of given function is

Step 2. Domain of inverse function

The domain of the inverse function is $\left\{460.00, 202.01, 196.46, 191.02, 182.87\right\}$

Step 3. Range of inverse function

The range of inverse function is { Mt Waialeale, Hawaii, Monrovia, Liberia, Pago Pago, American Samoa, Lae, Papua New Guinea}