Final answer:
To translate the function f(x) = 1x + 5 to g(x) = 3x + 5, we need to multiply the x-value by 3, resulting in a rightward shift by a factor of 3.
Step-by-step explanation:
To translate the function f(x) = 1x + 5 to g(x) = 3x + 5, we need to multiply the x-value by 3 instead of 1. This will result in the function shifting to the right or left, depending on the sign of the multiplier.
In this case, since the multiplier is positive, g(x) will be shifted to the right. The +5 term remains the same as it represents a vertical shift, not a horizontal one.
Therefore, the translation from f(x) to g(x) is a rightward shift by a factor of 3.