Explanation
We are given the following functions:
[tex]\begin{gathered} f(x)=2x+1 \\ g(x)=3x^2 \end{gathered}[/tex]
We are required to determine a simplified formula for (f + g)(x).
This can be achieved as:
[tex]\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}[/tex]
Hence, the answer is:
[tex](f+g)(x)=3x^{2}+2x+1[/tex]
