Adding Functions
The question is asking to find the sum of the functions \(f(x)\) and \(g(x)\). To do this, we simply add the corresponding terms from each function.
Given:
\(f(x) = -3x^2 + 5\)
\(g(x) = 3x^2 + 2x + 1\)
Adding \(f(x) + g(x)\), we align the like terms and add them:
\(-3x^2 + 5\) (From \(f(x)\))
\(+ 3x^2 + 2x + 1\) (From \(g(x)\))
Now, add the like terms:
\(-3x^2 + 3x^2\) (These terms cancel each other out)
\(+ 2x\) (Only term with \(x\), so it remains as is)
\(+ 5 + 1\) (Adding the constant terms)
So we are left with:
\(2x + 6\)
Therefore, the sum of \(f(x)\) and \(g(x)\) or \(f + g\) is \(2x + 6\). The correct answer is:
A) \(2x + 6\)
