What is (f+g)(x)? f(x)= – x2+7x g(x)=3x Write your answer as a polynomial or a rational function in simplest form.

Respuesta :

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