Question

What are the domain and range of the function f(x) = 3x 5?.

Answer 1

The domain and range of the given function both are the real numbers.

Given that:

• The domain and range of function f(x) = 3x + 5 has to be found.

Explanation for domain and range:

Considering working in real numbers, domain is $\mathbb{R}$ and range is $\mathbb{R}$ 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 $\mathbb{R}$ as range.

Below is the plot of f(x) = 3x + 5 in real number plane.

In fact, any linear equation of the form

$y = mx + c ; \: \: c \in R \: and \: m \in {R-\{0\}}$

has  both domain and range as real numbers.

For more information, refer to:

brainly.com/question/12208715

Answer 2

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.