Answered

Expand your knowledge base with the help of IDNLearn.com's extensive answer archive. Find reliable solutions to your questions quickly and easily with help from our experienced experts.

Find but do not simplify (f+g)(x) and write its domain in interval notation

Sagot :

MrRoyalidn

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

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.