Question

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).

Answer 1

(f + g)(x) = x² + 3x + 5

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)