Question

(F of G)(x)=-7x+52 what is the domain??

Answer 1

\[(-\infty , \infty)\]

Answer 2

depends on the domain of G

Answer 3

g(x)= sqrt(49-7x)

Answer 4

\[fg(x) = -7\sqrt{49-7x}+52\]
So the domain of fg(x) is \[D_{fg(x)} = [7,\infty)\]

Answer 5

f(x)=x^2+3
g(x)=sqrt(49-7x)
(F of G)(x)=-7x+52
What is Domain of (f of G)(X)??
Not (-inf, inf) or [7, inf)