Question

I need to determine a simplified formula for (f+g)(x) when I am given f(x)=2x+1 and g(x)=3x^2

Answer 1

Explanation

We are given the following functions:

`\begin{gathered} f(x)=2x+1 \\ g(x)=3x^2 \end{gathered}`

We are required to determine a simplified formula for (f + g)(x).

This can be achieved as:

`\begin{gathered} f(x)=2x+1 \\ g(x)=3x^(2) \\ (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(2x+1)+(3x^2) \\ (f+g)(x)=2x+1+3x^2 \\ Rearrange \\ (f+g)(x)=3x^2+2x+1 \end{gathered}`

Hence, the answer is:

`(f+g)(x)=3x^(2)+2x+1`