Answer :
Both domain and range of the function 3x+5 is given by: [tex]&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex].
Domain and range of a function
The domain of a function is the set of input values for which the function is real and defined. On the other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
The given function 3x+5 is a linear function. For the domain, this function does not have any restrictions like: variable x in the denominator or under a square root sign. Therefore, the domain is: [tex]&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex].
The same occurs for the range, this function does not have any restrictions. The range is all the real numbers: [tex]&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex].
Learn more about the range and the domain here:
https://brainly.com/question/10197594