Question

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

Answer 1

`\large\boxed{Domain:}\ x\in\mathbb{R}\to x\in(-\infty,\ \infty)}\\\\\boxed{Range:}\ x\in\mathbb{R}\to x\in(-\infty,\ \infty)}`

Explanation:

f(x) = 3x + 5 - it's a linear function.

The domain of a linear function is the set of all real numbers.

If a linear function has the equation y = b (b - constant), then the range is {b}.

If a linear function has the equation y = mx + b, where m ≠ 0, then the range is the set of all real numbers.

Answer 2

Explanation:

We have to find the domain and range of the function f(x) = 3x + 5

Since this function is defined for all the values of x then domain of this function will be set of all real numbers

Domain : (-∞, ∞)

Since for all real value of x we get the value of function a real number.

Therefore, set of all real numbers will be the range of this function

Range : {y: all real numbers}

Range : (-∞, ∞)