7. If f(x) = 2x + 1 and g(x) = 3x what is f(x) + g(x)

A. - 2x + 1

C. - 6x - 1

B. - 5x + 1

D. 5x + 1

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

Given:
\[
f(x) = 2x + 1
\]
\[
g(x) = 3x
\]

Now, add the two functions:
\[
f(x) + g(x) = (2x + 1) + 3x
\]

Combine like terms:
\[
f(x) + g(x) = 2x + 3x + 1 = 5x + 1
\]

So, the correct answer is:

**D. \( 5x + 1 \)**

Would you like any further details or have any other questions? Here are 5 related questions to expand your understanding:

1. What is \( f(x) - g(x) \) for the given functions?
2. How would you find \( f(g(x)) \) for the given functions?
3. What is the value of \( f(x) + g(x) \) when \( x = 2 \)?
4. Can you find \( f(x) \times g(x) \) for these functions?
5. What is the inverse function of \( f(x) \) and \( g(x) \)?

**Tip:** When combining functions, always group and simplify like terms to make the expression more manageable.

Learn how to add the functions f(x) = 2x + 1 and g(x) = 3x step-by-step. This problem covers adding linear functions and basic algebraic operations. Suitable for students in Grades 7-9.

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