Question

Use the functions below.

f(x)=3x−4
g(x)=3x+6
What is (f+g)(x)
?

Enter the missing values.

(1 point)
(f+g)(x)=_^2+_
$$

Answer 1

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

Given:
- \(f(x) = 3x - 4\)
- \(g(x) = 3x + 6\)

Now, we can calculate \((f+g)(x)\):

\[
(f+g)(x) = f(x) + g(x) = (3x - 4) + (3x + 6)
\]

Now, combine like terms:

\[
= 3x + 3x - 4 + 6
\]
\[
= 6x + 2
\]

Thus, \((f+g)(x) = 6x + 2\).

Now we can fill in the missing values:

\((f+g)(x) = \_ \cdot x + \_ \)

The answers are:

\((f+g)(x) = 6 \cdot x + 2\)

So the missing values are \(6\) and \(2\).