# 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 Â (b)f - g Â (c)f x g Â (d) f / g

f(x)= square root of x + 1; Â 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.

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