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)

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

so, converting firstly the mixed fractions to improper fractions and then "adding".