Question

If mc020-1.jpg and mc020-2.jpg, what is the domain of mc020-3.jpg?
mc020-4.jpg
mc020-5.jpg
mc020-6.jpg
mc020-7.jpg

Answer 1

I can’t see the image files you named. Could you either upload the images or paste the mathematical expressions shown in them (or type the full problem text)? Then I’ll find the domain.

If you want to try it yourself, here’s how to determine domains in the common cases:

- Start with the domain restrictions coming from each part:
- denominators: cannot be 0 (exclude roots of denominator).
- even roots (square root, 4th root, etc.): radicand must be ≥ 0 (and if the root is in a denominator, radicand > 0).
- odd roots: no restriction from the radicand (can be any real).
- logarithms: argument must be > 0.
- expressions with fractional exponents: consider whether the denominator of the exponent is even (then radicand ≥ 0).
- For combinations (sum, difference, product): domain is the intersection of the domains of the parts.
- For quotients: intersection of domains minus points where the denominator = 0.
- For compositions f(g(x)): domain = {x in domain of g such that g(x) is in domain of f}.

If you paste the expressions from mc020-1, mc020-2, mc020-3 (or upload the images), I’ll compute the exact domain.