Question

What is (f+g)(x)?{f(x)=2x^3-4xg(x)=x^3+2x^2-10Write you answer in standard form.

Answer 1

Answer:$(f+g)(x)=3x^3+2x^2-4x-10$Explanation:

The given functions are:

$\begin{gathered} f(x)=2x^3-4x \\ g(x)=x^3+2x^2-10 \end{gathered}$$(f+g)(x)=f(x)+g(x)$$(f+g)(x)=(x^3+2x^2-10)+(2x^3-4x)$

Simplify the resulting function

$\begin{gathered} (f+g)(x)=x^3+2x^3+2x^2-4x-10 \\ (f+g)(x)=3x^3+2x^2-4x-10 \end{gathered}$

The final function in standard form is:

$(f+g)(x)=3x^3+2x^2-4x-10$