What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x minus 24

x ≠ − 4
x ≠ 4
x ≠ − 6
x ≠ 6

Question

What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x minus 24


x ≠ − 4
x ≠ 4
x ≠ − 6
x ≠ 6

anonymous · Answer

Discontinuity is where the graph is defined near a cetain point but not at the exact point. Basically the discontinuity is at the number which makes the function undefined in this case you take the denominator 4x-24 and see which value makes it zero. So you can do 4x-24=0 and solve for x which equals 6. So the graph is discontinuous at 6.