if functionn f is defined by `f(x)=3x-4`, then `f(-2x)`=

Options

A. `-6x+4`
B. `8-6x`
C. `-6x-4`
D. `8x+6x^(2)`

Answer

To solve the problem, we need to find the value of \( f(-2x) \) given the function \( f(x) = 3x - 4 \).

### Step-by-Step Solution:

1. **Identify the function**: We have the function defined as:
\[ f(x) = 3x - 4 \]

2. **Substitute \(-2x\) into the function**: We need to find \( f(-2x) \). To do this, we replace \( x \) in the function with \(-2x\):
\[ f(-2x) = 3(-2x) - 4 \]

3. **Simplify the expression**: Now, we simplify the right side:
\[ f(-2x) = -6x - 4 \]

4. **Final result**: Therefore, the expression for \( f(-2x) \) is:
\[ f(-2x) = -6x - 4 \]