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Algebra - 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)= square root of x + 1;  g(x) = 2 / x

Solution Preview

We first have to find the domains of f and g seperately.
Df={x in R| x>=-1}
Dg={x in R| x~=0}
(Note that ~= means is not equl to).

(a) ...

Solution Summary

Operations are performed on two functions and domains are found.