Given the functions:

\[
f(x) = 4x + 4
\]

\[
g(x) = 3x + 5
\]

To find \((f + g)(x)\), you need to add \(f(x)\) and \(g(x)\):

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

Substituting the expressions for \(f(x)\) and \(g(x)\):

\[
(f + g)(x) = (4x + 4) + (3x + 5)
\]

Simplify by combining like terms:

\[
(f + g)(x) = 4x + 3x + 4 + 5 = 7x + 9
\]

So, \((f + g)(x) = 7x + 9\).

Would you like more details, or do you have any other questions?

Here are 5 related questions to expand on this topic:

1. How would you find \((f - g)(x)\) given \(f(x)\) and \(g(x)\)?
2. How do you calculate \((f \cdot g)(x)\) for the given functions?
3. What is \(\frac{f}{g}(x)\) for the given functions?
4. How can you determine the roots of the function \((f + g)(x)\)?
5. How do transformations affect the graph of \((f + g)(x)\)?

**Tip:** Always combine like terms carefully when adding or subtracting functions to avoid errors in simplification.

f(x) - 4x - 4
g(x) - 3x - 5
find (f + g)(x)

Learn how to add two linear functions, f(x) = 4x + 4 and g(x) = 3x + 5, to find (f + g)(x). This problem covers essential algebraic concepts related to function operations, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation