Answer
Error: $f(x)+g(x)=0$
CORRECT ANSWER
$f(x)+g(x)=10x-2$
Work Step by Step
$f(x)+g(x)$ is not equal to zero as the student has put in the solution. The student solved the equation $f(x)+g(x)=0$, which was not required. Only the sum of the functions should have been determined.
Correction
$f(x)+g(x)=3x-10+7x+8$
$f(x)+g(x)=3x+7x-10+8$
$f(x)+g(x)=10x-2$