How do you find the domain of f+g given f(x)=3x + 4 and g(x) = 5/(4-x)?
The domain of the sum of two functions is the intersection of their domains.
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