Question

let (f(x)=3x + 3) and (g(x)=5x^{2}+5x). compute and simplify the following. ((f + g)(x)=)

Explanation:

Step1: Recall function - addition rule

$(f + g)(x)=f(x)+g(x)$

Step2: Substitute the given functions

$f(x)+g(x)=(3x + 3)+(5x^{2}+5x)$

Step3: Combine like - terms

$5x^{2}+(3x + 5x)+3=5x^{2}+8x + 3$

Answer:

$5x^{2}+8x + 3$