Question

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

Answer 1

A composite function combines two or more functions to form a new function.

• The function is: $\mathbf{(f + g)(x) = 2x^2 + 4x + 2x}$
• The domain is: $\mathbf{Domain = [-\infty,\infty]}$

The functions are given as:

$\mathbf{f(x) = 2x^2 + 4x}$

$\mathbf{g(x) = 2x}$

So, we have:

$\mathbf{(f + g)(x) = f(x) + g(x)}$

Substitute known values

$\mathbf{(f + g)(x) = 2x^2 + 4x + 2x}$

There is no restriction as to the value of x.

Hence, the domain in interval notation is:

$\mathbf{Domain = [-\infty,\infty]}$

Read more about composite functions and domains at:

brainly.com/question/6390405