Question

Add: f(x)+g(x)
f(x) = 2x2 – 3x² + 7x+1
g(x) = 4x2 + 5x +12
Submit

Answer 1

`f(x) + g(x) = 2x^3 + x^2 + 12x + 13`

Explanation:

We are given these following functions:

`f(x) = 2x^3 - 3x^2 + 7x + 1`

`g(x) = 4x^2 + 5x + 12`

Add: f(x)+g(x)

To add them, we combine the like terms. So

`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`

The added function is:

`f(x) + g(x) = 2x^3 + x^2 + 12x + 13`