Question

What is the domain of the function?
x + 3
f(x) =
VX + 3

Answer 1

Your question is a little ambiguous, but I am assuming that you meant to say the function
`f(x) = x+3`

Thus, I am solving your question based on assuming the function such as

`f(x)=x+3`

But, it would still clear your concept, no matter what the function is.

Answer:

we conclude that

`\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}`

The graph is also attached.

Explanation:

Given the function

`f(x)=x+3`

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

As the function has no undefined points nor domain constraints.

Thus, the domain is

`-\infty \:<x<\infty \:`

Therefore, we conclude that

`\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}`

The graph is also attached.