Question

Determine the domain of the function, and choose the correct interval and inequality notations.





Interval notation: (–∞,
) U (
, ∞)

Inequality:

Answer 1

I don't see the function in your message — I need that to determine which value(s) to exclude. Please paste the function (or the expression) and I will give the domain in both interval and inequality form.

Meanwhile, general guidance:

- If the domain is “all real numbers except a”, the interval form is (-∞, a) U (a, ∞) and the inequality form is x ≠ a.
Example: f(x) = 1/(x−2) → domain = (-∞, 2) U (2, ∞), and x ≠ 2.

- If the domain excludes two values a and b (with a < b), interval form is (-∞, a) U (a, b) U (b, ∞) and inequality is x ≠ a and x ≠ b.
Example: f(x) = 1/((x−1)(x+3)) → domain = (-∞, −3) U (−3, 1) U (1, ∞), and x ≠ −3, x ≠ 1.

- For square roots (even roots) require radicand ≥ 0; for logarithms require argument > 0.

Give the specific function and I’ll fill in the exact numbers and notations.