Question

Determining if functions are inverses danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with danika? Explain your reasoning.

Options:
Option 1: Yes
Option 2: No
Option 3: Cannot determine
Option 4: Not applicable

Answer 1

To determine if two functions are inverses of each other, we need to check if both f(g(x)) = x and g(f(x)) = x. If both are true, then the functions are inverses.

Step-by-step explanation:

The question is asking whether the functions f(x) and g(x) are inverses of each other, with the reasoning that f(g(x)) = x. To determine if this is true, we need to check if g(f(x)) = x as well. If g(f(x)) = x, then f(x) and g(x) are inverses. If not, they are not inverses. So, we need to evaluate g(f(x)) and see if it equals x or not.