Question

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

f(x)=x2−3x−10/x−5
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Answer 1

Given function f(x) = x + 2

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

Explanation:

Given function

`f(x) = (x^(2)- 3 x -10 )/(x -5)`

let
`y = f(x) = (x^(2)- 3 x -10 )/(x -5)`

The Factor
`x^(2) - 3 x - 10`

x ² - 5 x + 2 x - 10

x ( x -5) + 2 (x-5)

`f(x) = (x^(2)- 3 x -10 )/(x -5) = ((x-5)(x+2))/(x-5) = x +2`

y = x +2

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