The function g is defined above. What is the value of `g (-4x )` ?

Options

A. 7
B. `-12x -5`
C. `12x-5`
D. `12x ^(2)-20x`

Explanation

To find the value of \( g(-4x) \), we will follow these steps:

1. **Identify the function**: We know that the function \( g(x) \) is defined as:
\[ g(x) = -3x - 5 \]

2. **Substitute \(-4x\) into the function**: We need to find \( g(-4x) \). This means we will replace \( x \) in the function \( g(x) \) with \(-4x\):
\[ g(-4x) = -3(-4x) - 5 \]

3. **Simplify the expression**: Now, we will simplify the expression:
\[ g(-4x) = -3 \times -4x - 5 \]
\[ = 12x - 5 \]

4. **Final result**: Therefore, the value of \( g(-4x) \) is:
\[ g(-4x) = 12x - 5 \]