Respuesta :

Answer:

[tex]f(x) + g(x) = 2x^3 + x^2 + 12x + 13[/tex]

Step-by-step explanation:

We are given these following functions:

[tex]f(x) = 2x^3 - 3x^2 + 7x + 1[/tex]

[tex]g(x) = 4x^2 + 5x + 12[/tex]

Add: f(x)+g(x)

To add them, we combine the like terms. So

[tex]f(x) + g(x) = 2x^3 - 3x^2 + 7x + 1 + 4x^2 + 5x + 12 = 2x^3 + (-3+4)x^2 + (7+5)x + 1 + 12 = 2x^3 + x^2 + 12x + 13[/tex]

The added function is:

[tex]f(x) + g(x) = 2x^3 + x^2 + 12x + 13[/tex]