Question

Given mc001-1.jpg, what is the domain?

mc001-2.jpg

mc001-3.jpg

mc001-4.jpg

all real numbers

Answer 1

I can’t see the image files you referenced. Please upload mc001-1.jpg (and the other images) or paste the function(s) here.

If you’d like to decide the domain yourself, use this checklist:
- If there is a denominator, exclude values that make the denominator 0.
- If there is an even root (√, 4th root, …), require the radicand ≥ 0; if that root is in a denominator require radicand > 0.
- If there is a log, require the argument > 0.
- If there are trig functions: tan, sec, csc, cot exclude points where their denominators are 0 (e.g. tan and sec: cos x = 0).
- Combine all restrictions (intersection of allowed x-values).

Examples:
- f(x) = 1/(x−3) → domain: all real x ≠ 3.
- g(x) = √(x+2) → domain: x ≥ −2.
- h(x) = √(x−1)/(x+2) → domain: x ≥ 1 (and also x ≠ −2, but −2 is not ≥1 so domain is [1, ∞)).

Upload the images or paste the function(s) and I’ll give the exact domain.