for the of function, determine the domain of f+g

Question

f(x)=3x²-9, g(x)=4x³+10

Answer 1

Hello again, Cathryn,

 

If we add the two together, we get 4x³+3x²+1.  Since there are no restrictions on what we can put in for x (no square roots that can't equal 0, no denominators that can't equal 0, etc), then our domain is all real numbers.