Question 9 of 10

Question

If f(x) = 3x - 2 and g(x) = 2x + 1, find (f - g)(x).
• A. 3- x
• в. 5х - 1
• c. 5х - 3
• D. x-3

Answer 1

To find \((f - g)(x)\), we need to calculate:

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

Given:

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

Now, compute \(f(x) - g(x)\):

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

Distributing the negative sign:

\[ = 3x - 2 - 2x - 1 \]

Now combine like terms:

\[ = (3x - 2x) + (-2 - 1) \] \[ = x - 3 \]

Thus, \((f - g)(x) = x - 3\).

The answer is \(\text{D. } x - 3\).

Answer 2

So x-3?

Answer 3

Yes, that's correct! The result of \( (f - g)(x) \) is \( x - 3 \). So the answer is indeed \( \text{D. } x - 3 \).