Final answer:
To find g(x), which is a translation 1 unit to the right of f(x) = -5x - 8, we replace x with (x - 1) in the equation. So, g(x) = -5(x - 1) - 8. Simplify the expression to get g(x) = -5x - 3.
Step-by-step explanation:
To find g(x), which is a translation 1 unit to the right of f(x) = -5x - 8, we need to shift the graph of f(x) one unit to the right. This can be done by replacing x with (x - 1) in the equation. So, g(x) = -5(x - 1) - 8.
Simplifying the expression, g(x) = -5x + 5 - 8 = -5x - 3.
Therefore, g(x) = -5x - 3.