Algebra - Operations of Functions and Domains - For the given functions f and g, find the following functions and state the domain of each.
(a) f + g (b)f - g (c)f x g (d) f / g
f(x) = 2xsquared + 3; g(x) = ...
Domains - Determine the domain of the function: f (x) = sqrt( -2 - x)
function as a composition - What are the formulas for f+g, f-g, fg, and f/g, and the domains of the functions if
f(x)= 3x-2, g(x)= |x| ?
Euclidean Domains and Principal Integral Domains - Determine whether the ring R=Z[(1+√-5)/2] is a Euclidean Domain.
And whether the ring R=Z[(1+√-5)/2] is a Principal Ideal Domain
See attached file for full problem description.