Final answer:
To find g(-4) for the function g(x) = -2x - 4, you substitute -4 into the equation, giving g(-4) = 8 - 4, which simplifies to g(-4) = 4.
Step-by-step explanation:
Substituting -4 into the function g(x) = -2x - 4 gives g(-4) = -2(-4) - 4, which simplifies to g(-4) = 8 - 4, resulting in g(-4) = 4. The student has been asked to find the value of the function g(x) = -2x - 4 at x = -4. To solve this, we substitute -4 into the function:
g(-4) = -2(-4) - 4
This simplifies to:
g(-4) = 8 - 4
And then:
g(-4) = 4
The final answer is g(-4) = 4.
Through this example, we see how changing the sign during the operation affects the outcome. This is a basic principle of algebra that is critical to solving equations properly.