# How do you find the domain of f+g given f(x)=3x + 4 and g(x) = 5/(4-x)?

##### 1 Answer

Jun 15, 2016

The domain of the sum of two functions is the intersection of their domains.

#### Explanation:

First of all, let us find the domain of

#f(x)# is a polynomial function, so its domain is#RR# .#g(x)# is a fractional function, so its domain is#RR# excepting those points where the denominator vanishes:

So the domain of

Now, the domain of

consists of those points where both