Question

Hey for whoever is reading this I need help with this homework assignment and I want to learn it!

Answer 1

`C.\text{ }g(x)=(1)/(x-2)+7`

Step-by-step explanation

The given function is:

`f(x)=(1)/(x)`

When a function is shifted vertically upward, it changes as follows:

`g(x)=f(x)+d`

where d = number of units that it is shifted

Therefore, shifting f(x) by 7 units up will result in the following function:

`g(x0=(1)/(x)+7`

When a function is shifted horizontally to the right, it changes as follows:

`g(x)=f(x-c)`

where c = number of units that it is shifted

Hence, transforming the function above by shifting it 2 units to the right will result in:

`g(x)=(1)/(x-2)+7`

The correct answer is option C.