when the function f(x)=1/x is replaced by g(x)=f(x)+d, its graph is shifted down 11 units. Which of the following shows the expression of function g(x)?(1 point)

Question

g(x)=1/x−11

g(x)=11/x

g(x)=1/x+1/11

g(x)=1/x+11

Answer 1

To shift the function \( f(x) = \frac{1}{x} \) down by 11 units, you subtract 11 from the function. Therefore, the function \( g(x) \) can be expressed as:

\[ g(x) = f(x) - 11 = \frac{1}{x} - 11 \]

Thus, the correct expression for the function \( g(x) \) is:

\[ g(x) = \frac{1}{x} - 11 \]

Among the options you provided, the correct choice is:

g(x) = 1/x - 11.