Question

The sum of f(x)=6x^2-5x+1 and g(x) = 4x^2+10

Answer 1

The sum of two functions can be solved by

`\begin{gathered} (f+g)(x)=f(x)+g(x) \\ \\ \text{Given:} \\ f(x)=6x^2-5x+1 \\ g(x)=4x^2+10 \\ \\ (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(6x^2-5x+1)+(4x^2+10) \\ (f+g)(x)=6x^2-5x+1+4x^2+10 \\ (f+g)(x)=10x^2-5x+11 \\ \\ \text{Therefore, the sum of two function }f(x)\text{ and }g(x)\text{ is} \\ (f+g)(x)=10x^2-5x+11 \end{gathered}`