Comparing the domains of composite functions

[srfriggen]

Homework Statement

The problem and solution are posted in an attachment.

Relevant Equations

h(x) = f(g(x)) and more are in attachment.

Hello,

I have attached my question and the work. I believe the answer is correct. Looking for verification.

Thank you!

 

[PeroK]

Must be easier with Latex, but correct.