Question

Select the correct answer from each drop menu Short answers only and this time also not a test

Answer 1

$\begin{gathered} f(x)=\frac{1}{x} \\ g(x)=\frac{1}{x}+k \end{gathered}$

The parent function f(x) has a horizontal asymptote located at:

$y=0$

Since g(x) has the horizontal asymptote located at:

$y=3$

We can conclude that g(x) is the result of translate f(x) 3 units up, therefore:

$g(x)=\frac{1}{x}+3$

Answer:

k = 3