Question

Supposed f(x) = 6x - 2 and g(x) = 2x + 4.
What is (f + g)(x)?
Hint - Add f(x) and g(x) & combine like terms.
Answer:
choose your answer...

Answer 1

To find \((f + g)(x)\), we need to add the functions \(f(x)\) and \(g(x)\):

Given:
- \(f(x) = 6x - 2\)
- \(g(x) = 2x + 4\)

Now, we add these two functions together:

\[
(f + g)(x) = f(x) + g(x) = (6x - 2) + (2x + 4)
\]

Combining like terms:

1. Combine the \(x\) terms: \(6x + 2x = 8x\)
2. Combine the constant terms: \(-2 + 4 = 2\)

Putting it all together, we get:

\[
(f + g)(x) = 8x + 2
\]

Thus, the final answer is:

\[
\boxed{8x + 2}
\]