9. Given g(x) = 6x + 4 and f(x) = 2x - 7 what is g(x) - f(x)?

A. 4x - 3
B. 8x - 3

D. 4x + 11

To find \( g(x) - f(x) \), you subtract the function \( f(x) \) from \( g(x) \).

Given:
\[
g(x) = 6x + 4
\]
\[
f(x) = 2x - 7
\]

Now, subtract \( f(x) \) from \( g(x) \):

\[
g(x) - f(x) = (6x + 4) - (2x - 7)
\]

Distribute the negative sign across \( f(x) \):

\[
g(x) - f(x) = 6x + 4 - 2x + 7
\]

Now, combine like terms:

\[
g(x) - f(x) = (6x - 2x) + (4 + 7)
\]

\[
g(x) - f(x) = 4x + 11
\]

So, the correct answer is:

**D. \( 4x + 11 \)**

Would you like more details or have any questions?

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Here are 5 related questions:

1. If \( h(x) = g(x) \times f(x) \), what is the expression for \( h(x) \)?
2. What is the value of \( g(x) - f(x) \) when \( x = 2 \)?
3. How would you find \( g(x) + f(x) \)?
4. What

Learn how to subtract functions g(x) and f(x) in algebra. Given g(x) = 6x + 4 and f(x) = 2x - 7, find g(x) - f(x) with a step-by-step solution. Suitable for Grades 7-9.

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