Respuesta :
The domain of given points are :
IR x ≠ 2, 3
Points of discontinuity - x = 2 ( removable/hole )
x = 3 ( non removable / asymptote )
x - intercept = 2/3 , y - intercept = 1
What is rational functions ?
Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere. First example: f(x) = x/ (x - 3).
CALCULATION
y = 6-3x/[tex]x^{2}[/tex]-5x+6
= -3(x-2)/[tex]x^{2}[/tex]-3x-2x+6
= -3(x-2)/x(x-3)-2(x-3)
= -3(x-2)/(x-2)(x-3)
The domain of given points are :
IR x ≠ 2, 3
Points of discontinuity - x = 2 ( removable/hole )
x = 3 ( non removable / asymptote )
x-intercept :
0=-3(x-2)
-3x+2=0
2=3x
x=2/3
y - intercept :
-3( 0-2)/(0-2)(0-3)
y = 1
learn more about the rational functions at :
brainly.com/question/20850120
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