anonymous one year ago What is the discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4?

1. anonymous

@jdoe0001

2. anonymous

ahemm didn't you just do that one?

3. anonymous

Whoops hold on

4. anonymous

What is the discontinuity of the function f(x) = the quantity of x squared minus 4 x minus 12, all over x plus 2?

5. anonymous

|dw:1436224952239:dw|

6. anonymous

is it 6,0

7. anonymous

$$\bf f(x) = \cfrac{x^2-4x-12}{x+2}\to \cfrac{(x-6)\cancel{(x+2)}}{\cancel{(x+2)}} \\ \quad \\ -----------------------\\ \cfrac{x^2-4x-12}{x+2}\qquad {\color{brown}{ x=-2}}\implies \cfrac{x^2-4x-12}{{\color{brown}{ -2}}+2}\implies \cfrac{x^2-4x-12}{0}$$

8. anonymous

whenever the value of "x", makes the denominator 0, it makes the fraction undefined, and that means that's where the graph has a gap or is discontinued

9. anonymous

ok, i understand

10. anonymous

was i wrong?

11. anonymous

well, once the x+2 gets cancelled all you're left with is x-6 or x-6 = 0 x = 6 <-- solution, or x-intercept

12. anonymous

ok.

13. anonymous

:) thanks once again

14. anonymous

yw