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)