Final answer:
The given function, f(x)=1/x, is translated up 12 units to form the function g(x). Therefore, the new function after translation becomes g(x) = 1/x + 12.
Step-by-step explanation:
The given function is f(x) = 1/x. In regard to the question on how f(x) is transformed to g(x),
it is specified that the function f(x) is translated up 12 units.
In mathematics, if a function is translated up, we add the corresponding value to the function.
The function g(x) was obtained by translating the function f(x)=1/x up 12 units. To find the equation that represents g(x), we add 12 to the y-values of f(x). The equation for g(x) is g(x) = 1/x + 12.
Based on this concept, the transformation of f(x) to g(x) due to an upward shift of 12 units would result in the function: g(x) = 1/x + 12. So, g(x) represents the translated function of f(x).
Learn more about Function Translation