Question

for the given functions f and g, complete parts (a)-(h). for parts (a)-(d), also find the domain.

\\(f(x) = 4x + 1\\); \\(g(x) = 2x - 7\\)

what is the domain of \\(f + g\\)? select the correct choice and, if necessary, fill in the answer box to complete your choice.

a. the domain is \\(\\{x | \square\\}\\).

Explanation:

Find the domains of the individual functions

Using the Linear Function Domain knowledge point

$$
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$$

Determine the domain of the sum function

Using the Function Addition and Algebra of Functions knowledge points

$$
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$$

Express the domain in set-builder notation

Using the Linear Function Domain knowledge point

$$ \text{Domain} = \{x \mid x \text{ is any real number}\} $$

Answer:

What is the domain of \(f + g\)? Select the correct choice and, if necessary, fill in the answer box to complete your choice.

The domain is <blank>\(\{x \mid x \text{ is any real number}\}\)</blank>.