Question

Let f(x) = 5x – 3 and g(x) = 2x². Perform the function operation and then find the domain of the result.

(f+g)(x)
(f+g)(x) = (Simplify your answer.)

Answer 1

(f+g)x= 2x²+5x-3

The domain x∈ Real number.

Explanation:

Given that f(x) = 5x - 3 and g(x) = 2x²

(f+g)x = f(x) + g(x)

So, by using the given function

(f+g)x= (5x-3) + (2x²)= 2x²+5x-3

As the result, 2x²+5x-3, is a polynomial, so domain of the result is all the real numbers.