# 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

Algebra ->  Algebra  -> Functions -> 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      Log On

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Functions 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(6456)   (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