Supposed f(x) = 6x - 2 and g(x) = 2x + 4.

Question

What is (f - g) (x)?
Hint - Subtract f(x) and g(x) &, distribute the negative to g(x) and combine like terms.
Answer:
choose your answer...

Answer 1

To find \((f - g)(x)\), we start by subtracting \(g(x)\) from \(f(x)\).

Given:

• \(f(x) = 6x - 2\)
• \(g(x) = 2x + 4\)

Now, we can express \((f - g)(x)\) as follows:

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

Distributing the negative sign:

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

Now, combine the like terms:

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

Thus, the final answer is:

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