or
What is (f+g)(x)?
f(x)=
–
3x
g(x)=
–
4x+4

To find \((f + g)(x)\), we need to add the two functions \(f(x)\) and \(g(x)\). The given functions are:

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

Now, add them together:

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

Simplify:

\[
(f + g)(x) = -3x - 4x + 4 = -7x + 4
\]

Thus, \((f + g)(x) = -7x + 4\).

Would you like more details or have any questions?

Here are some related questions:
1. What is \((f - g)(x)\) for the same functions \(f(x)\) and \(g(x)\)?
2. What is \((f \cdot g)(x)\) for the same functions?
3. What is \((f / g)(x)\) for these functions?
4. How do you find the domain of \((f + g)(x)\)?
5. How does changing the values of \(f(x)\) and \(g(x)\) affect the result of \((f + g)(x)\)?

**Tip:** When combining functions, always pay attention to both the coefficients of the variables and any constants.

What is (f + g)(x)? f(x) = -3x, g(x) = -4x + 4

Discover how to add linear functions in algebra by solving (f + g)(x) where f(x) = -3x and g(x) = -4x + 4. This detailed guide explains the process of combining functions, simplifying expressions, and understanding key algebraic concepts. Suitable for students in Grades 7-9.

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