SOLUTION: I need help solving this problem. I'm not quite sure that I understand how to do it: Let {{{ f(x)=sqrt(6x) }}} and {{{ g(x)=x+3 }}} . What's the smallest number that is in the d

Question 469572: I need help solving this problem. I'm not quite sure that I understand how to do it:
Let and . What's the smallest number that is in the domain of (f)(g)?
I have been trying to figure out how to solve problems like this, but I just don't get it. I'd be very thankful if you could please explain this to me. Thank you for your time.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!

What's the smallest number that is in the domain of (f)(g)
f(x)=sqrt(6x)
g(x)=x+3
**
f[g(x)]=f(x+3)=sqrt(6(x+3))=sqrt(6x+18)
radican≥0
6x+18≥0
6x≥-18
x≥-3
Domain: [-3,∞)
ans:
smallest number in domain=-3
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