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`Step-by-step 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`