Question

F(x) = 4x² + 5x - 3
g(x) = 4x³
3x² + 5
Find (f+g)(x).

Answer 1

`4x^3+7x^2+5x+2`

Explanation:

Given:

`f(x)=4x^2+5x-3`

`g(x)=4x^3+3x^2+5`

`\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}`