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

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:

anonymous · Answer

$$f+g(x)=f(x)+g(x)$$ add them up

anonymous · Answer

for domain of $\sqrt{4x-5}$  you have to make sure that $4x-5$ is not negative, because you cannot take the square root of a negative number
set $4x-5\geq 0$ and solve for $x$