Answer:
As it is a linear function, not restricted, both the domain and the range are R (set of real numbers), so from minus infinite to plus infinite.
The domain and range of the given function both are the real numbers.
Considering working in real numbers, domain is [tex]\mathbb{R}[/tex] and range is [tex]\mathbb{R}[/tex] too.
Domain can be complex numbers too, but for the sake of daily life cases, we consider working in real numbers.
Thinking of it as equation of straight line can help.
The given function is monotonically increasing and continuous.
Thus Range can be calculated as interval ( f(min value of domain), f(max value of domain) ) which gives us [tex]\mathbb{R}[/tex] as range.
Below is the plot of f(x) = 3x + 5 in real number plane.
In fact, any linear equation of the form
[tex]y = mx + c ; \: \: c \in R \: and \: m \in {R-\{0\}}[/tex]
has both domain and range as real numbers.
For more information, refer to:
https://brainly.com/question/12208715
