Find left-parenthesis f dot g right-parenthesis left-parenthesis x right-parenthesis when lower f left-parenthesis x right-parenthesis equals Start Fraction Start Root x plus 3 End Root over x End Fraction and lower g left-parenthesis x right-parenthesis equals Start Fraction Start Root x plus 3 End Root over 2 x End Fraction.
left-parenthesis lower f dot lower g right-parenthesis left-parenthesis x right-parenthesis equals Start Fraction x squared plus 6 x plus 9 over 2 x squared End Fraction
Image with alt text: left-parenthesis lower f dot lower g right-parenthesis left-parenthesis x right-parenthesis equals Start Fraction x squared plus 6 x plus 9 over 2 x squared End Fraction
left-parenthesis lower f dot lower g right-parenthesis left-parenthesis x right-parenthesis equals Start Fraction Start Root x plus 3 End Root over 2 x squared End Fraction
Image with alt text: left-parenthesis lower f dot lower g right-parenthesis left-parenthesis x right-parenthesis equals Start Fraction Start Root x plus 3 End Root over 2 x squared End Fraction
left-parenthesis lower f dot lower g right-parenthesis left-parenthesis x right-parenthesis equals Start Fraction x plus 3 over 2 x squared End Fraction
Image with alt text: left-parenthesis lower f dot lower g right-parenthesis left-parenthesis x right-parenthesis equals Start Fraction x plus 3 over 2 x squared End Fraction
left-parenthesis lower f dot lower g right-parenthesis left-parenthesis x right-parenthesis equals Start Fraction x squared plus 9 over 2 x squared End Fraction