merfabelle
merfabelle merfabelle
  • 09-04-2019
  • Mathematics
contestada

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

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 25-07-2020

Answer:

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

Step-by-step explanation:

The rational function can be simplified to ...

  [tex]f(x)=\dfrac{x^2-9x+20}{x-4}=\dfrac{(x-5)(x-4)}{(x-4)}\\\\f(x)=x-5\qquad\text{$x\ne 4$}[/tex]

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

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