Question

What is the graph of the function x^2-9x+20 over x-4

Answer 1

a straight line: y = x -5, with a hole at (4, -1)

Explanation:

The rational function can be simplified to ...

`f(x)=(x^2-9x+20)/(x-4)=((x-5)(x-4))/((x-4))\\\\f(x)=x-5\qquad\text{$x\\e 4$}`

The graph of this is a straight line, with a hole at x=4, where the function is not defined.