A composite function combines two or more functions to form a new function.
- The function is: [tex]\mathbf{(f + g)(x) = 2x^2 + 4x + 2x}[/tex]
- The domain is: [tex]\mathbf{Domain = [-\infty,\infty]}[/tex]
The functions are given as:
[tex]\mathbf{f(x) = 2x^2 + 4x}[/tex]
[tex]\mathbf{g(x) = 2x}[/tex]
So, we have:
[tex]\mathbf{(f + g)(x) = f(x) + g(x)}[/tex]
Substitute known values
[tex]\mathbf{(f + g)(x) = 2x^2 + 4x + 2x}[/tex]
There is no restriction as to the value of x.
Hence, the domain in interval notation is:
[tex]\mathbf{Domain = [-\infty,\infty]}[/tex]
Read more about composite functions and domains at:
https://brainly.com/question/6390405
