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    Algebra - Functions and Domains

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    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

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    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. The square roots of functions are given.