The sum of the given expression in simplest form is:
[tex]\dfrac{3x+7}{x+5}[/tex]
We are asked to sum up two rational function.
The first rational function is:
[tex]\dfrac{3x}{x+5}[/tex]
and the other i.e. second rational function is given by:
[tex]\dfrac{7}{x+5}[/tex]
Now, on adding these two i.e.
[tex]\dfrac{3x}{x+5}+\dfrac{7}{x+5}[/tex]
Since both the terms have the same denominator.
Hence, the denominator is taken as one and the quantities in the numerator are added up.
Hence, the expression is given by:
[tex]\dfrac{3x}{x+5}+\dfrac{7}{x+5}=\dfrac{3x+7}{x+5}[/tex]
