Answer:
[tex](f+g)(x) = -x^2 + 10x[/tex]
Step-by-step explanation:
We are given these two following functions:
[tex]f(x) = -x^2 + 7x[/tex]
[tex]g(x) = 3x[/tex]
Sum of the functions:
To find the sum of the functions, we combine the like terms. So
[tex](f+g)(x) = f(x) + g(x) = -x^2 + 7x + 3x = -x^2 + (7+3)x = -x^2 + 10x[/tex]
[tex]-x^2 + 10x[/tex] is the answer