Composition of functions
Suppose that the functions of f and g are as follows
f(x) = 2x+3
g(x)= (sqrt 4x-5)
Find f*g and f+g. Then give their domain using interval notation

(f*g)(x)=
Domain of f*g:

(f+g)(x)=
Domain of f+g:

Question

Composition of functions
Suppose that the functions of f and g are as follows
f(x) = 2x+3
g(x)= (sqrt 4x-5)
Find f*g and f+g. Then give their domain using interval notation

(f*g)(x)= 
Domain of f*g: 

(f+g)(x)=
Domain of f+g:

terenzreignz · Answer

It's interesting how none of these are actually compositions :D
The domain of a product is just the intersection of the domains of the factors :D

anonymous · Answer

I think this is a composition

anonymous · Answer

This is the first time with this kind of problem

anonymous · Answer

Do I solve for f and solve for g then find the f+g and f*g with the domain for each?