Question

The domain for f(x) and g(x) is the set of all real numbers. let f(x)=3x+5 and g(x)=x^2. find f(x) +g(x)

Answer 1

`(f+g)(x)=x^(2)+3x+5`

1) In this question, we are dealing algebra of functions. So, let's add them up.

2)

`\begin{gathered} f(x)=3x+5 \\ g(x)=x^2 \\ f(x)+g(x)=3x+5+x^2 \\ (f+g)(x)=x^2+3x+5 \end{gathered}`

Note that we wrote it in the standard form.

2) Hence, the answer is:

`(f+g)(x)=x^(2)+3x+5`