find g(x), where g(x) is the translation 5 units right of f(x) =x

Answer 1

If you move y = x five units to the right, then the slope would be the same and when y = 0, then x = 5

So,

y = mx + b with m = 1 and 0 = 5 + b or b = -5

Therefore,

y = f(x) = x - 5