GIVEN:
We are given the following functions;
[tex]\begin{gathered} f(x)=|2x+1|+3 \\ \\ g(x)=-2 \end{gathered}[/tex]
Required;
Find the value of
[tex](f+g)(x)[/tex]
Step-by-step solution;
To begin solving, note that the notation given can also be expressed as follows;
[tex](f+g)(x)=f(x)+g(x)[/tex]
We now have the following;
[tex]\begin{gathered} f(x)+g(x)=|2x+1|+3+(-2) \\ \\ =|2x+1|+3-2 \\ \\ =|2x+1|+1 \end{gathered}[/tex]
Therefore, option A is the correct answer.
ANSWER
[tex](A):|2x+1|+1[/tex]
