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

Sagot :

MrRoyal

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

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