Question

Given g(x) = 3x² - 10x + 22, what is the domain of g?

Answer 1

The domain of g(x) is the set of real numbers. (-∞, +∞)

Explanation:

We have given the function:

g(x) = 3x² - 10x + 22

We have to find the domain of the given function.

The domain of the function is the all possible values of x for which the function is defined.

So, the given function is defined for all values of x.

So, the domain of the function is the set of real numbers.

(-∞, +∞) is the domain of the function.

Answer 2

The domain of function g in interval notation is (-∞,∞)

Step-by-step explanation:

The domain of a function refers to the set of x-values for which the function is real and defined. Given that this is a quadratic function and not a rational function, then the function lacks points of discontinuity. The function is continuous everywhere. In short, the function has no undefined points nor domain constraints.