Month: September 2019 (Page 1 of 5)

(8) Let f(x)=3x^2-5 and g(x)=sqrt(x-1).

(a) Find  (f of g)(x).

1. First plug in the g(x) equation in the x of the f(x) equation.

=4(sqrt(x-1))^2-2

2. The next step is to square the square root.

=4(x-1)-2

3. After you distribute the 4 to the x and one.

=4x-4-2

4. Then add the like terms.

=4x-6

(b)Determine the domain of (f of g)(x)

1. Get rid of the square root of the function and make it equal to 0

= X-1=0

2. Add 1 to the other side to isolate x

=x=1

3. After replace the equal sign with a greater than equal sign

=x is greater than or equal to 1

4. Write the answer in interval notation

Domain=[1, Inf)

Your next OpenLab assignment is similar to the Test #1 Review assignment. This time, choose one question from Test #1 VersionA or Test #1 VersionB, write its full solution and submit this as an OpenLab post. If the question has multiple parts, complete them all. There are more students in the class than there are questions on the test, so we will have more than one solution for some questions; that is okay but make sure solutions for all questions appear at least once.

Choose a problem that you struggled with during the test. Try to post something that is 100% correct but don’t worry if it’s not; let us know what part you are not confident in. If you notice an error or have a question about someone else’s solution, post a comment on their post.

Select the category Test #1 Solutions before you publish your post.

Solutions are due on the OpenLab by 11:59pm on Monday, October 7.