Answer:
Step-by-step explanation:
To find the sum of the functions f(x) and g(x), we simply need to add their individual expressions together. Here's a step-by-step explanation:
1. First, let's write down the expressions for both functions:
f(x) = x + 3
g(x) = x² - 4x
2. Now, we add the two expressions together, keeping in mind that we should add the terms with the same variable (x) and keep the constants separate:
f(x) + g(x) = (x + 3) + (x² - 4x)
3. Combine the x terms:
f(x) + g(x) = x + 3 + x² - 4x
4. Simplify the expression by canceling out the x terms:
f(x) + g(x) = x + 3 - 4x + x²
5. Rearrange the terms to have the exponents in ascending order:
f(x) + g(x) = x² - 3x + 3
So, the sum of the functions f(x) and g(x) is:
f(x) + g(x) = x² - 3x + 3
