The domain for f(x) and g(x) is the set of all real numbers.

let f(x) = 3x + 5 and g(x) = x2.

find (f + g)(x).

(f + g)(x) = x² + 3x + 5

Step-by-step explanation:

There are two different functions f(x) and g(x) with domain the set of all real numbers and given by  

f(x) = 3x + 5 and  

g(x) = x²

Now, we have to find the function (f + g)(x) which is obtained by simple arithmetic addition of the two functions.

Therefore, (f + g)(x) = f(x) + g(x) = (3x + 5) + (x²) = x² + 3x + 5 (Answer)

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step-by-step explanation: