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What are the coordinates of the hole in the graph of the function?

f(x)=x2−3x−10/x−5
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Respuesta :

Answer:

Given function f(x) = x + 2

The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)

Step-by-step explanation:

Given function

               [tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]

let       [tex]y = f(x) = \frac{x^{2}- 3 x -10 }{x -5}[/tex]

    The Factor [tex]x^{2} - 3 x - 10[/tex]

                     x ² - 5 x + 2 x - 10

                  x ( x -5) + 2 (x-5)

         [tex]f(x) = \frac{x^{2}- 3 x -10 }{x -5} = \frac{(x-5)(x+2)}{x-5} = x +2[/tex]

              y = x +2

The co-ordinates of ( -2 , 0) , (1 ,3 ),( 2,4)