Sketch the following functions and determine which of them are self-inverse.
\(g(x)=\dfrac{x+1}{x-1}\) | \(m(x)=\dfrac{x-1}{x+1}\) |
\(h(x)=8-x\) | \(n(x)=8+x\) |
\(k(x)=\dfrac{x}{x-1}\) | \(p(x)=x\) |
What do the graphs of the self-inverse functions have in common?
Sketch and find equations for some other self-inverse functions.