ill give you a medal.if you can Explain thoroughly

What are the points of discontinuity? Are they all removable?
y= (x - 5) / x^2 - 6x + 5

Question

ill give you a medal.if you can Explain thoroughly

What are the points of discontinuity? Are they all removable? 
y= (x - 5) / x^2 - 6x + 5

terenzreignz · Answer

$$\Large y = \frac{x-5}{x^2 - 6x + 5}$$

Well...

misty1212 · Answer

HI!!

misty1212 · Answer

factor the denominator, then find out where it is zero
those are the discontinuities

misty1212 · Answer

then cancel
that "removes" one of the discontinuities

terenzreignz · Answer

What you must understand is that this function is what's called a "rational" function, that is to say, it is a quotient of two polynomials.

And rational functions are continuous EVERYWHERE ON THEIR DOMAIN.

That being said, the only places there could ever be discontinuities on a rational function, are those places that are not in its domain.

Can you find certain x values not in the domain?

(I say domain a lot... urgh)