Question

I’m so confused. Please give letter answer and simple explanation please. Thanks!

Answer 1

GIVEN:

We are given the following functions;

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

Required;

Find the value of

`(f+g)(x)`

Step-by-step solution;

To begin solving, note that the notation given can also be expressed as follows;

`(f+g)(x)=f(x)+g(x)`

We now have the following;

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

Therefore, option A is the correct answer.

ANSWER

`(A):|2x+1|+1`