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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)

The domain for f(x) and g(x) is the set of all real numbers. let f(x)=3x+5 and g(x-example-1

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(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

The domain for f(x) and g(x) is the set of all real numbers. let f(x)=3x+5 and g(x-example-1
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