Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Manipulating Radical Functions

Manipulating Radical Functions 1.12 - Solution

arrow_back Return to Manipulating Radical Functions

We want to determine whether the given pair of functions are inverse functions. To do so, we need to verify that the compositions of and are the identity function. Since is a radical function, we first need to find the domain, which only includes values for which the radicand is non-negative. Since the domain of is all real numbers greater than or equal to , we will only consider them for the variable.

Calculating

To find the expression for we will start by substituting for Now we apply the definition of Finally, let's simplify and see if the function is the identity function.
Since is not the identity function, and are not inverse functions.