Question

Add and subtract functions QQD

What is (f + g)(x)?
f(x) = 2x
g(x) = x2 + 8x
Write your answer as a polynomial or a ration

Answer 1

To add the functions f(x) = 2x and g(x) = x² + 8x, you combine the like terms to get the function (f + g)(x) = x² + 10x. This resulting function is a quadratic polynomial.

Step-by-step explanation:

To find the function (f + g)(x), you simply need to add the functions f(x) and g(x) together.

Given that f(x) = 2x and g(x) = x² + 8x, their sum is:

(f + g)(x) = f(x) + g(x)
= 2x + (x² + 8x)
= x² + 10x

The result is a polynomial, which in this case is also a second-order polynomial or a quadratic function. The coefficients of x indicate that when two positive numbers are multiplied, such as 2 and x or 8 and x, you add the results to find the sum.