### Home > PC3 > Chapter 7 > Lesson 7.1.3 > Problem7-39

7-39.

Sketch the graph of $f(x)=\frac{1}{x-4}$. Let $g(x)=f(x+2)-1$. Write an explicit equation for $g(x)$ and sketch its graph.

Sketch a rational function with an asymptote at $x=4$.

$f\left(x+2\right)-1=\frac{1}{\left(x+2\right)-4}-1$