Question

find the domain of the composite function f o g f(x)=3/x-10 g(x)=sqrt(x-3)

Answer 1

first off you need the domain of \(g\)
you got that?

Answer 2

if not let me know
i am just asking

Answer 3

yes

Answer 4

ok then you have
\[f\circ g(x)=\frac{3}{\sqrt{x-3}-10}\]

Answer 5

you already know that \(x\geq 3\) for sure
now you have to make sure that you are not dividing by zero, solve
\[\sqrt{x-3}-10=0\] for \(x\) to get another restriction

Answer 6

x-5, x+2

Answer 7

you lost me there

Answer 8

\[\sqrt{x-3}=10\\
x-3=100\\
x=103\] is what i get

Answer 9

how 10 become 100

Answer 10

i squared both sides