EXPLANATION
Given the function f(x)= 1/ x
Reflecting it about the x-axis, give us the function f(x) = -1/x
Translating it up 12 units will give us the following function:
[tex]f_{\text{transformed}}(x)=-\frac{1}{x}+12[/tex]The function g(x) is as shown as follows:
[tex]g(x)=-\frac{1}{x}+12[/tex]