53.5k views
5 votes
Please help with the first question....

Please help with the first question....-example-1

1 Answer

6 votes

Answer:

A) The functions are not inverses of each other.

Explanation:


f(g(x))=√((x^2+3)-3)=√(x^2)=|x|\\e x

The result of f(g(x)) is not always x, so the functions are not inverses of each other.

In general, a quadratic (or any even-degree polynomial) such as g(x) cannot have an inverse function because it does not pass the horizontal line test.

Please help with the first question....-example-1
User Angry Dan
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.