What are the discontinuities of the function f(x) = the quantity of x squared plus 2 x minus 8, all over 12 x plus 24.?

If I understood your description, the function should be as follows:

f(x) = (x²-2x-8)/(12x+24), if so then let's study the denominator (12x+24)

f(x) is defined for all values except those that give to the denominator the value of ZERO. Then 12x+24 ≠ 0 or 12x ≠ - 24==> x ≠ -2

f(x) is undefined & discontinued at x=-2

the diagram shows you   triangle def with de=4, df=9 and de≠df≠ef.

the sum of the lengths of two triangles' sides are always greater than the length of the third side:

de+df> ef (option 54 is false); de+ef> df (option 1 is true); ef+df> de.

substitute sides lengths:

4+9> ef ⇒ ef< 13; 4+ef> 9 ⇒ ef> 5.

then 5< ef< 13 (option 3 is true).

def is a scalene triangle with all sides of different lengths (option 5 is true, option 2 is false).

answer: correct choices are 1, 3 and 5

Ithink c hope that