To solve \( f(x) - g(x) \), where \( f(x) = 2x + 5 \) and \( g(x) = 3x + 4 \), we proceed as follows:

1. Substitute the given functions into the expression \( f(x) - g(x) \):

\[
f(x) - g(x) = (2x + 5) - (3x + 4)
\]

2. Distribute the negative sign across the terms in \( g(x) \):

\[
f(x) - g(x) = 2x + 5 - 3x - 4
\]

3. Combine like terms:

\[
f(x) - g(x) = (2x - 3x) + (5 - 4)
\]

\[
f(x) - g(x) = -x + 1
\]

So, the solution is:

\[
f(x) - g(x) = -x + 1
\]

Would you like more details or have any other questions? Here are some related questions:

1. What happens when \( f(x) = g(x) \)?
2. How do you find \( f(x) + g(x) \) for the given functions?
3. How do you find the roots of \( f(x) - g(x) = 0 \)?
4. What is the value of \( f(x) - g(x) \) when \( x = 2 \)?
5. How do you find the intersection points of \( f(x) \) and \( g(x) \)?

**Tip:** When subtracting functions, always remember to distribute the negative sign to each term in the second function before combining like terms.

Learn how to solve the expression f(x) - g(x) = 2x + 5 - (3x + 4) step-by-step with detailed explanations. This problem involves subtracting linear functions, understanding function notation, and combining like terms. Suitable for high school students.

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