Question

what is the discontinuity of the function f(x)= x^2-4x-12/x+2 ?

What is the discontinuity and zero of the function f(x)= 3x^2+x-4/x-1

Answer 1

@ajprincess

Answer 2

@John_ES

Answer 3

If you need the zeros of the function,
\[f(x)=\frac{ x^2-4x-12}{x+2}\] You must solve,
\[f(x)=0\Rightarrow x^2-4x-12=0\]

For the second question, you must solve two things:
- The zeros,
\[3x^2+x-4=0\]

- The point of discontinuity,
\[x-1=0\Rightarrow x=1\]

Can you complete the problem?

Answer 4

Remember, that any rational function of the form,
\[\frac{P(x)}{Q(x)}\]
it's not defined when
\[Q(x)=0\]
So those points x where Q(x)=0, are disconuity points.

Answer 5

woops I made a mistake for the first one I need the discontinuity not the zeroes.

Answer 6

here are the questions and choices.

Answer 7

For the first question if you need the discontinuity point, as you see, it is easy to find,
\[x+2=0\Rightarrow x=-2\] You should choose (-2,8), but I don't understand why they add an 8 to the answer.

Answer 8

because we are supposed to use Geogebra, a graphing tool, to help us do this.

Answer 9

For the second question, the last option is the correct one.

Answer 10

So, you should use geogebra to check, at least, these solutions.

Answer 11

thanks

Answer 12

I will

Answer 13

the first one is right

Answer 14

and so is the 2nd one